{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Geostat workflow\n",
    "\n",
    "The main idea of this page is to show the step by step geostatistical workflow. In order to check the quality of the procedure, the data are simulated with a given covariance.\n",
    "\n",
    "The aim is then to identify the variogram, run the cross validation, and make some predictions.\n",
    "\n",
    "Still in development !\n",
    "\n",
    "January 2018 - P. Renard\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import geostat as geo"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Synthetic data set\n",
    "Generates a data set by simulation of a random gaussian process with known parameters. This data set will then be used to test the construction and identification of a variogram model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "n=50 # Number of points\n",
    "x=np.random.rand(n,2) # random locations\n",
    "\n",
    "#import halton as ht\n",
    "#x = ht.halton(2, n)\n",
    "\n",
    "covar = geo.Covariance(rang=0.3, sill=1000, typ='exponential')\n",
    "v = geo.unconditionnal_lu( x, covar, nsimuls=1 )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exploratory data analysis\n",
    "\n",
    "We first plot the map and histogram of the data and then the variogram."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAroAAAE0CAYAAADDr5AsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fda7a99b828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the data for visual check\n",
    "plt.figure(figsize=(12,10))\n",
    "\n",
    "plt.subplot(221)\n",
    "plt.hist(v)\n",
    "#plt.hist(v, density=True, cumulative=False, histtype='bar')\n",
    "\n",
    "plt.xlabel('Z')\n",
    "plt.title('Histogram')\n",
    "\n",
    "plt.subplot(222)\n",
    "v.shape=(n,)\n",
    "s = v-np.min(v)\n",
    "plt.scatter(x[:,0], x[:,1], s=s, c=v, alpha=0.5)\n",
    "plt.title('Map of measured Z(x)')\n",
    "\n",
    "plt.xlabel('x')\n",
    "plt.ylabel('y')\n",
    "plt.colorbar()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZUAAAEWCAYAAACufwpNAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nzQd71/xFrW6hhgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fda7ab16860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Defines an object of type experimental variogram. This action precomputes the \n",
    "# variogram cloud to accelerate experimental variogram computation.\n",
    "\n",
    "expvario = geo.ExperimentalVariogram( x, v, plot_variogram_cloud=True )\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbkAAAFNCAYAAACdVxEnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/j8tU6+9TXz1GAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fda79a69be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# From the variogram cloud, computes the experimental variogram\n",
    "he,ge = expvario(hmax=0.7,lag=0.04)\n",
    "\n",
    "# Defines a variogram model: adapt the range, sill and type\n",
    "#variomod = geo.variogram( 0.5, 8600, typ='linear' , nugget=0.1)\n",
    "#variomod = geo.variogram( 0.4, 900, typ='spherical' , nugget=0.1)\n",
    "variomod = geo.Variogram( 0.25, 1000, typ='exponential' , nugget=0.1)\n",
    "\n",
    "# Superposes the plot of the two curves for manual fitting\n",
    "hplot = np.arange(0,0.7,0.01)\n",
    "\n",
    "plt.figure(figsize=(7,5))\n",
    "plt.plot(he,ge,'o',label='data')\n",
    "plt.plot(hplot,variomod(hplot),label='model')\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.title('Variogram')\n",
    "plt.xlabel('h')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Variogram:  exponential variogram: range = 0.25, sill =1000, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = 0.0800541326336 <=  0.2857142857142857\n",
      "Acceptable mean squared normalized error: Q2 = 1.23339031796\n",
      "   within bounds LU = [ 0.643977886993 1.43311048095 ]\n",
      "Geometric mean square error = 202.01065559\n",
      "Geometric mean error variance = 865.719636398\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAuEAAALJCAYAAAAav/3JAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XmYHGW5/vHvTQgQZIlKBJIQwhplEYIR0IiyGhSEgMiJ\nggfQY1w4iMIJJsJBVKLBCOpRXCKyKCBwJAZ+oIQlIOJhkRAkbJEtkEyCASGyhZDl+f1RNaFn0j3T\nM9NdVd19f66rr+l+q7rq6Zqk+pm3nnpfRQRmZmZmZpaddfIOwMzMzMys1TgJNzMzMzPLmJNwMzMz\nM7OMOQk3MzMzM8uYk3AzMzMzs4w5CTczMzMzy5iTcGsYkkLS9hnub4ykGVWue4+knesdUyPwcTOr\nD0kPSdo37zjyJOkISQskvSJpZN7x9ISk+ZIOTJ9/XdIFNd7+vpIW1nKbVl9OwluYpE9Jujc9mS2W\n9EdJH8g7rr6SdLykO7pYvk/6mTs/Vku6sGTVycCUKnf7feBbfYm7KCQNq3B8Vkqa1Wndi8tsoiWP\nm1lflCZoJW0dzmURsXNE3NbNdoanHRbr1inUvH0f+M+I2Cgi5uQdTG9FxHci4j/yjsPy5SS8RUk6\nBfgh8B1gc2AYcD5wWIX1m+aEHhF/Tk/gax7AkcCrwHkAkt4LbBoRd1W52WuB/SRtUZ+oE1n8HiLi\nmTLH5/3AMuA7aZL+A0kbpjHtKun76fNCHjczq40CfBdsDTxU750U4HPmSlK/atq62UZLH8NqOAlv\nQZI2Jel9PDEipkfEqxGxIiKui4jT0nXOkvQ7SZdKegk4XtL6kn4oaVH6+KGk9dP1N5N0naSlkl6Q\n9GdJ66TLviapTdLLkuZJOqBCXBdL+rmkm9J1/yRp60qfQdKvJT0n6WlJZ0haR9K7gJ8D70t7b5dW\ncTy2Ai4DvhgRD6bNHwH+VLLO+yU9n66LpN0kvSjpnQAR8TowGxhTZvvrp8dll5K2QZKWSXpH+vpQ\nSfen6/2fpHeXrDs/PYYPAK9KWrfSMU2P4dkl7+1webLa30Wn+DcBfgecExE3R8QzwNXAb4D9gC8C\n59T6uJlZR+pYzrCnkiuZL0n6h6Tz0tVuT38uTc+B70vPjWek58ol6blz05Lt/nu67J+S/rvTfsp9\nF+wp6c70fLVY0k8krVeyvZD0JUmPpeeab0vaLj23vSTpqtL1O33GsrGm59FXgH7A3yQ9UeH9IekL\n6b6XSjpfkrradrqs/QrCZyU9A8wqaTtBSQnMi+m23yvpgXT7PynZ93aSZqXH8XlJl0kaWCHOsyRd\nmj7/ida+6nhWumywpKuVfNc9JenLJdsYkJ7zX5T0MPDeSv920vXfqeT79YX0/H90ybKLJf1M0h8k\nvUrSOVKurex3b7qN4yX9RUknzT+Bs7qKx4CI8KPFHsDBwEpg3S7WOQtYAYwl+WNtAEnifhfwDmAQ\n8H/At9P1v0uS/PZPH/sAAkYAC4DB6XrDge0q7PNi4GXgg8D6wI+AO0qWB7B9+vzXwDXAxuk2/w58\nNl12fOn7ujkW66Wf6Wed2v8XmNCpbTIwKz0Wc0kuiZYu/x/gvAr7uRCYXPL6ROCG9PlIYAmwF8kX\nzHHAfGD9dPl84H5gq3TfFY9pegzPLtnPvsDC9HnVv4tOsV8NXA+opO0DafvTwI+Bzepx3Pzwo1Ue\n6f/zAzu1dTiXla4D3Al8On2+EbB3+nx4eq5ct+R9nwEeB7ZN150O/CZdthPwSvp/ej2Sco8VJfs5\ni7W/C94D7A2sm+7vEeArJfsLkvPzJsDOwHLglnT/mwIPA8dVOA4VYy3Z9vZdHMcArgMGklzhfQ44\nuIrj0H7cfg28Jf2c7W0/BzYAPgy8Dswg+R4cQnLu/lC6je2Bg0i+vwaR/EH0wwq/v7OAS8vEv3sa\n88j0eM8Gzkx/N9sCTwJj0nWnAH8G3kby/fAg6fm+zHbfQnL+PyH9vY0Engd2SpdfDPwLGJ3ud4MK\nbd19964ETkr3MSDv/1dFf7gnvDW9HXg+IlZ2s96dETEjIlZHxDLgGOBbEbEkIp4Dvgl8Ol13BbAl\nsHUkvep/juR/5SqSE9JOkvpHxPyIKNuDkbo+Im6PiOXA6SQ92luVrqDkktg4YFJEvBwR84FzS2Lp\niXNJEt+vdGofSPIHQamzSL5A7gHaSMp3Sr2cvq+cy9OY230qbQMYD/wiIu6OiFURcQnJl9beJev/\nT0QsSH8PPT2m7Xr8Pkmnknzhfjr9fSJpGPBxkuN9K/BL4GvpW2p93MxayYy0d3Wpkqt4P+1i3RXA\n9pI2i4hXousSsGNI/tB9MiJeASYB45SUCxwF/L+IuCMi3iBJ+KLT+zt8F0TE7Ii4KyJWpuffXwAf\n6vSe70XESxHxEElyeGO6/38BfyRJAnsaa7WmRMTSSK7a3UqS2Fa77bMiuTq8rKTt2xHxekTcSFK2\n+Nv0e7CNJAkeCRARj0fETRGxPP2OPK/McalI0iCSBP+kSOrd3wsMiohvRcQbEfEkyfm2/bvkaJLO\nnRciYgFJh0YlhwLzI+Ki9Pc2h6Qj5RMl61wTEX9Jf8+vd24j+TfX3Xfvooj4cbqP0mNoZTgJb03/\nBDar4qS2oNPrwSQ9n+2eTtsAppL0MNwo6UlJEyE5KZEkuGcBSyRdIWkwla3ZZ3qSfKFkH+02I+lt\n7xzLkG4+TweSxpEkw0elSX+pF0n+0l8jIlaQ9AzsApzbnpSW2BioVP5yK7ChpL0kDSf5Uvh9umxr\n4NROX75b0fFzlx6Xnh7TXr1PyU263yQ5Pi+UbOeZiPhqRLyWvn4gIiaki2t93MxaydiIGNj+AL7U\nxbqfBXYEHpX0V0mHdrFuuXP3uiT3Aw2m4/nlNZLviFIdvgsk7aik/PBZJSUq3yE5L5f6R8nzZWVe\nb9SLWKv1bMnz10r2Vc22O3/vQZWfRdLm6Xm1LT0ul7L2cSlLUn+Ssr/LI+KKtHlrYHCn74avl8Tb\n4XfX6bN1tjWwV6dtHQOU3o9T7rOXtlXz3VtuG1aBk/DWdCdJT+vYbtbrnCwtIvmP3G5Y2kb6V/Gp\nEbEtyc2dpyitN46IyyPiA+l7gzfrh8tZ0+staSOSy2yLOq3zPMlf5J1jaasQ91qU1I5PI+nhLXfi\neoDkC670PUOAbwAXAecqrYcv8S7gb+X2FxGrgKuAT6aP6yKivcd4AUlvxsCSx4YR8dvSTXTaXqVj\n+iqwYcmqW1T5vg4kbQ5cCfxXRNxbbp10e8d3aqrpcTOz8iLisYj4JElZxDnA7yS9hfLnv3Ln7pUk\nyeRiYGj7AkkDSK6Wdthdp9c/Ax4FdoiITUgSQ/X+01Qdaxbb7vb7owvfSd+/a3pcjqX64/Jj4CXg\njJK2BcBTnb4bNo6Ij6bLF1PynUnyeSpZAPyp07Y2iogvlqxT7rOXtnX33VtpG1aBk/AWlF4OPBM4\nX9JYSRtK6i/pI5K+18VbfwucoeSmws3SbbTfWHKopO0liaSGbBWwWtIISfunidfrJL0Gq7vYx0cl\nfUDJTTvfBu5KL7OVxt+e0E6WtLGSmzdPaY+F5IQ6VJVv/HkLyWW4H0XEHyrE8QdKLiOmn+ti4Fck\nPVCL0/jal29AUrZxUxef7XLg30h6Hy4vaf8l8IW0l1yS3iLpEEkbl9tIN8f0fpJj+DYlI458pcr3\nlW6/H3AFMCsift7F5ymnHsfNzDqRdKykQWmZQPuVpNUk9cSrSeqH2/0W+KqkbdLOje8AV0ZSkvg7\n4GNKbqJej+RKWXeJ48YkCeMrSm6y/mI36/dEV7EWeduQHJdXgH+lnQ8TulkfAEmfJzlvHpP+Ptvd\nA7ys5Ib6AZL6SdpFyShUkHwPTpL0VklDSWqxK7kO2FHSp9Pv+/5KbjB9V7UfrorvXushJ+EtKiLO\nJfnPcwbJSXsB8J8k9WiVnA3cS9LbORe4L20D2AG4meQEdCfw04i4laQGeQrJX9DPkvTaTOpiH5eT\n9Jq+QJKcHVthvZNIen2fBO5I39c+xvcskiGsnpX0fJn3fpyk9/UUrT0W9h8BIuI+khPpXul7vpzG\n/t9pOcUJwAmS9kmXfwy4LSI699qvERF3pzEPJqmJbG+/F/gc8BOSco7HSW5wqaSrY/obkl7l+cCN\nJL3Z1byv1GiSGzo/Xub4dDk0WD2Om5mVdTDwkJIRQ34EjEvrtV8juRn6L2nZwd4k58bfkNwo+BTJ\nH+EnAaQ12yeR/OG9mOQcvoTkamkl/0VSyvcySSfClV2s21MVYy34tiEp39uDpCPqepIbP6vxSZI/\nmhaVnGu/nia9h5KULz5Fcu6+gOQem/b9PZ0uu5Hks5WVXnn9MElN9yKS74BzSL4XeqKr717rIa1d\nnmmWDyUTvyyMiDO6WzcLkj4MfCkiuivbQdLdJHeIP9jdus3Ox82scaU9xEtJSk2eyjses2bmJNwK\no2hJuJlZK5D0MZIhBEUy2sVewB5lbqI2sxpyOYqZmVlrO5ykRGERSWnhOCfgZvXnnnAzMzMzs4y5\nJ9zMzMzMLGM9mYGqIW222WYxfPjwvMMwM+ux2bNnPx8Rg/KOI0s+Z5tZo+rpObvpk/Dhw4dz770V\n5xoxMyssSV3NgNeUfM42s0bV03O2y1HMzMzMzDLmJNzMzMzMLGNOws3MzMzMMuYk3MzMzMwsY07C\nzczMzMwy5iTczMzMzCxjTsLNzMzMzDLmJNzMzMzMLGNOws3MzMzMMtb0M2aalTNjThtTZ85j0dJl\nDB44gAljRjB25JC8wzJrSJIuBA4FlkTELmnbVOBjwBvAE8AJEbE0vyjNzIrFPeHWcmbMaWPS9Lm0\nLV1GAG1LlzFp+lxmzGnLOzSzRnUxcHCntpuAXSLi3cDfgUlZB2VmVmROwq3lTJ05j2UrVnVoW7Zi\nFVNnzsspIrPGFhG3Ay90arsxIlamL+8ChmYemJlZgRW2HEXSQOACYBcggM8A84ArgeHAfODoiHgx\npxCtQS1auqxH7Xly2Yw1ic+QnLvNzCxV2CQc+BFwQ0QcJWk9YEPg68AtETFF0kRgIvC1PIO0xjN4\n4ADayiTcgwcOyCGaytrLZtp77dvLZgAn4tYwJJ0OrAQu62Kd8cB4gGHDhmUUmVUyfOL1me1r/pRD\nMtuXWdEUshxF0qbAB4FfAUTEG+kNPYcDl6SrXQKMzSdCa2QTxoxgQP9+HdoG9O/HhDEjcoqoPJfN\nWKOTdDzJDZvHRERUWi8ipkXEqIgYNWjQoMziMzPLU1F7wrcBngMukrQbMBs4Gdg8Ihan6zwLbJ5T\nfNZLRSivaN9f3nF0p5HKZsw6k3QwcBrwoYh4Le94zMyKpqhJ+LrAHsBJEXG3pB+RlJ6sEREhqWzP\nii9tFlORyivGjhxSuKS7s0YpmzGT9FtgX2AzSQuBb5CMhrI+cJMkgLsi4gu5BWlmVjCFLEcBFgIL\nI+Lu9PXvSJLyf0jaEiD9uaTcm31ps5hcXtEzjVI2YxYRn4yILSOif0QMjYhfRcT2EbFVROyePpyA\nm5mVKGRPeEQ8K2mBpBERMQ84AHg4fRwHTEl/XpNjmNZDeZRXFKH8pbcapWzGzMzMeq6QSXjqJOCy\ndGSUJ4ETSHrur5L0WeBp4Ogc47Meyrq8okjlL73VCGUzZmZm1nNFLUchIu5PS0reHRFjI+LFiPhn\nRBwQETtExIER8UL3W7KiyLq8wuUvZmZmVlRF7gm3JpN1eYVHFzEzM7OichJumcqyvMKji5iZmVlR\nFbYcxayvPLqImZmZFZV7wq1peXQRMzMzKyon4dbUPLqImZmZFZHLUczMzMzMMuYk3MzMzMwsY07C\nzczMzMwy5iTczMzMzCxjvjGzkxlz2jyahpmZmZnVlZPwEjPmtDFp+tw1U523LV3GpOlzAZyIm5mZ\nmVnNuBylxNSZ89Yk4O2WrVjF1JnzcorIzMzMzJqRk/ASi8pMcd5Vu5mZmZlZbzgJLzF44IAetZuZ\nmZmZ9YaT8BITxoxgQP9+HdoG9O/HhDEjcorIzMzMzJqRb8ws0X7zpUdHMTOzohg+8fq8Q6ibrD/b\n/CmHZLo/s644Ce9k7MghTrrNzMzMrK5cjmJmZmZmljH3hJtZ4XkSLTMzazZOws2s0DyJlpmZNSOX\no5hZoXkSLTMza0ZOws2s0DyJlpmZNSMn4WZWaJ5Ey8zMmpGTcDMrNE+iZWZmzcg3ZppZoXkSLTMz\na0aFTcIl9QPuBdoi4lBJbwOuBIYD84GjI+LF/CI0s6x4Ei0zM2s2RS5HORl4pOT1ROCWiNgBuCV9\nbWZmZmbWcAqZhEsaChwCXFDSfDhwSfr8EmBs1nGZmZmZmdVCIZNw4IfAacDqkrbNI2Jx+vxZYPPM\nozIzMzMzq4HCJeGSDgWWRMTsSutERADRxTbGS7pX0r3PPfdcPcI0MzMzM+u1wiXhwGjgMEnzgSuA\n/SVdCvxD0pYA6c8llTYQEdMiYlREjBo0aFAWMZuZmZmZVa1wSXhETIqIoRExHBgHzIqIY4FrgePS\n1Y4DrskpRDMzMzOzPilcEt6FKcBBkh4DDkxfm5mZmZk1nMKOEw4QEbcBt6XP/wkckGc8ZmZmZma1\nUOgk3MzyN2NOm2erNDMzq7FGKkcxs4zNmNPGpOlzaVu6jADali5j0vS5zJjTlndoViCSLpS0RNKD\nJW1vk3STpMfSn2/NM0Yzs6JxEm5mFU2dOY9lK1Z1aFu2YhVTZ87LKSIrqIuBgzu1eZZjM7MuOAk3\ns4oWLV3Wo3ZrTRFxO/BCp2bPcmxm1gUn4WZW0eCBA3rUblbCsxybmXXBSbiZVTRhzAgG9O/XoW1A\n/35MGDMip4isEXmWYzOztTkJN7OKxo4cwneP3JUhAwcgYMjAAXz3yF09OopVw7Mcm5l1wUMUmlmX\nxo4c4qTbeqN9luMpeJZjM7O1uCfczMz6RNJvgTuBEZIWSvosnuXYzKxL7gk3M7M+iYhPVljkWY7N\nzCpwT7iZmZmZWcbcE25WEJ4e3szMrHU4CTcrgPbp4dtnp2yfHh5wIm5mZtaEnISbFUBX08MXMQl3\nr72ZmVnfOAk3K4BGmh7evfZmZmZ95xszzQqgkaaH76rX3szMzKrjJNysABppevhG6rU3MzMrKifh\nZgXQSNPDN1KvvZmZWVG5JtysIBplevgJY0Z0qAmH4vba5271Klh8Pyx5BEYem3c0ZmZWIE7CzfBo\nHz3Rflx8vCpYugCevBWemAVP3gbLXoR1+sNOY2H9jfKOzszMCsJJuLU8j/bRc43Sa5+J5a/A/DuS\npPuJWfDPx5L2jbeEER+FbfeDbfd1Am5mZh04CbeaasQe5e5G+2i0z2N1tnp1UmLyxCx44lZYcDes\nXgHrDoDho2HUCbDd/jDonSDlHa2ZmRWUk3CrmUbtUa40qkd7/I32earViH8w5eZfC5OEe02JyQtJ\n+xa7wvu+lCTdW+0N/TfINUwzM2scTsKtZhpt1sd2gwcOoK1MIt5PasjPU41G/YMpM8tfgaf/8mZv\n9/PpGOgbbQE7jkmS7m33hY3ekWeUZmbWwJyEW8006vjRlUb76JyAtyv656lGo/7BVDerV8Ozf3sz\n6X7mrrTEZAPYejTs8e9J4v2Od7nExMzMaqKQSbikrYBfA5sDAUyLiB9JehtwJTAcmA8cHREv5hWn\ndVSpR7no40dXGu1j6sx5Dfl5qtGofzDV1L/a3hzF5Ilb3ywx2XxX2PuLSdI97H0uMTEzs7ooZBIO\nrAROjYj7JG0MzJZ0E3A8cEtETJE0EZgIfC3HOK1EI48fXWm0j0b9PN1p1D+Y+uSNV+Hp/3tzFJPn\nHk3aN9ocdvjwmyUmG2+eZ5RmZtYiCpmER8RiYHH6/GVJjwBDgMOBfdPVLgFuw0l4YdRz/Og8biJs\n5vGwG/kPpqqtXg3PPvBm0r3gblj1Rlpi8v5k8pzt9od37OQSEzMzy1whk/BSkoYDI4G7gc3TBB3g\nWZJylXLvGQ+MBxg2bFj9g7Q16jF+dJ43ETbreNhN+wfGS4tKRjG5FV77Z9K++S6w1+dLSkyauMff\nzMwaQqGTcEkbAVcDX4mIl1TSWxURISnKvS8ipgHTAEaNGlV2HWscvomwPmr1B0auQx2uKTFJE+/n\nHkna3/IO2P7AkhKTLbKJx8zMrEqFTcIl9SdJwC+LiOlp8z8kbRkRiyVtCSzJL0LLim8iLK7Mr1Ks\nWgEzvw73TOvY3m/9pMRk908liffmO7vExMzMCq2QSbiSLu9fAY9ExHkli64FjgOmpD+vySE8y1hL\n3kTYIDK5SnHrd+BP55RfttVe8KGvJQm4S0zMzKyBFDIJB0YDnwbmSro/bfs6SfJ9laTPAk8DR+cU\nn2WoJW4ibFB1uUqx+AH4xT5dr/Opq5JJc8zMzBpUIZPwiLgDqHQt+YAsY7F8tdcbL1uxin4SqyIY\n0iw3ETaBmlylWPkGTN0elv+r8jobvh1OeRTWXa8XUZqZmRVPIZNwM1i73nhVxJoecCfgxdDrqxR/\nmgq3nt31Ol+4A7bYtQZRmpmZFY+TcCssj4pSfNUMdThjTht3/uHXnLNiStcb+9DXYL+v1zNcMzOz\nwnASboXlUVEaQ9mhDlcsg8nJsIBj08da1t8UJjwG665f7xDNzMwKx0m4FZZHRSmeLscEP2vTbt9/\nyPLJPBTbMGTgAP4ycf86R2tmZlZcTsKtsDwqSrF0rtH/8MvTGXvNb7ocKPSF2Ig9lk9bq91XM8zM\nrNU5CbfCatqp1RvU+TfczyP9PgX9ullx4gLYYBMAPjZlFiz31QwzM7POnIRbodVqavVGluu08CUl\nJjdVWOX8lYdx4tm/KbvMVzPMzMzKcxJuVmCZTwt/0zfgLz/sdrXhr1++5vmQgQM4scJ6vpphZmZW\nnpNwswKr+zCNr78EU7bqfr2vPsSMJ9WrXm1fzTAzM1ubk3CzAqvLMI1VjGJy+6pd+Txn8N0jd12T\nQI8dmSxzr7aZmVnfOQk3K7CaDNN47Ulw36+7Xa20xCSxdo+7e7XNzMxqw0m4WYH16sbG5a/Ad6tI\nlE/8KwzaEYBtJl5fdhUPJWhmZlYfTsKtkHIdEaRAqr6xsYoSE9bfFCY9U3aRJ0YyMzPLlpNwK5zM\nRwQpuLIlIL//Ivytc/lIGWf9q6p9eChBMzOzbDkJt8Kp+4ggjeiN1+A7W3a/3vg/weDde7x5DyVo\n9SLpq8B/AAHMBU6IiNfzjcrMLH9Owq1w6jIiSCOqpsQEqu7t7o5vurRakzQE+DKwU0Qsk3QVMA64\nONfAzMwKoKokXNLbgfcDg4FlwIPAnIiIOsZmLapl65N/PRaevLX79WqUdJtlZF1ggKQVwIbAopzj\nMTMrhC6TcEn7AJOALYD7gSXABiQ9GVtLugL4QUS8Uu9ArXW0TH3yimUweYvu1zvhBtj6ffWPx1qa\npHWAoyLiqlptMyLaJH0feIakA+fGiLixVts3M2tk3fWEHwH8Z0Q82XmBpPWAw4CDgd/VITZrUU1d\nn5xxiYlZtSJitaTTgJol4ZLeChwObAMsBf5X0rERcWmn9cYD4wGGDRtWq92bmRVal0l4RJzSxbI3\ncPJtddI09clXHAOPXtf9ek66rRhulvRfwJXAq+2NEfFCL7d3IPBURDwHIGk6SWljhyQ8IqYB0wBG\njRrlMkczawnV1oRfBHw5Il5OXw8FLoyID9czOLOGs3I5nP2O7tcb91t450frH49Zz/xb+vPEkrYA\ntu3l9p4B9pa0IUk5ygHAvb0Pz8yseVQ7Osq9wD2STgaGAF8HTqtbVNaUmnYCHpeYWJOIiG1qvL27\nJf0OuA9YCcwh7fE2M2t1VSXhEXG+pL8BtwLPA3tExOK6RmZNpakm4Ln6czC3irJZJ93WYCT1B74I\nfDBtug34RUSs6O02I+IbwDf6Hp2ZWXOpthzlk8A3gc8A7waulXRCRDxYz+CseTT0BDyrVsK33979\nekddBLscWf94zOrnZ0B/4Kfp60+nbf+RW0RmZk2q2nKUY4APtfd+S3ofcBmwW70Cs+bScBPwuMTE\nWtN7I6L0vD4rvQpqZmY1Vm05yqGdXt8paa/6hNQ1SQcDPwL6ARdExJQ84rCeKfwEPH8+F275Vvfr\nFTzpbtq6e8vKKknbRcQTAJK2BVZ18x4zM+uF7ibrmQj8LCLWyjwi4nVJHwQ2iog/1CvATvH0A84H\nDgIWAn+VdG1EPJzF/q33CjcBz+pV8K23db/ex38Fux5V/3hqoKnq7i0vE4BbJT0JCNgaOCHfkMzM\nmlN3PeGPATMlvQTMBp4jmTFzB2AUyU07Z9czwE72BB5vnzwonbHzcMBJeMEVYgKeKktMRm/w+zdj\nXDmCsXUOq1Yauu7ecpfOmLmM5Pze/tfxvIhYnl9UZmbNq7vJeq4Grpb0LmA0sCXJSfp3JDNpvtrV\n++tgCLCg5PVCYK2yGM++lq9KJRGZT8DTwxKTNT3JadlMo/UkN1zdvRVKOmPm+RExEngg73jMzJpd\nd+Uo60fE8oh4BHik07JhlMyoViSefS0/uZZERMA3B3a/XoUSk0bvSS583b01glskfRyYHhE+d5qZ\n1VF35SgvS/o2cHaZE/IMYI/6hFVRG7BVyeuhaZt1ktcNepknsjUcxaTRe5ILV3dvjejzwCnASkmv\nk9SFR0Rskm9YZmbNp7skfD6wM/BnSZ+KiGdKlqluUVX2V2AHSduQJN/jgE/lEEeh5dkbXfdE9p5f\nwh/+q/v1ejGKSaP3JBei7t4aliQBO3c6z5uZWZ10l4S/EhHjJB0P3CFpYkRcni7L/FJlRKyU9J/A\nTJIhCi+MiIeyjqPo8iyrqHkiW22JyRG/gN3G9W4fqXI9yf3XEa+9sZJtJl7fEElt5nX31jQiIiRd\nD+yadyxmZq2g2nHCL5Z0O3CppI+STGuci3Q4xEyGRGxUeZZV1KQkIqeJcjr3JG86oD+vvrGSF19L\nZuxutBs1zXrhPknvjYi/5h2ImVmz6y4JX1NyEhFPStoHOAuYA2xYx7isD/Isq+hVScTfZ8LlR3e/\n8W8sBdW3Cqq0J3n0lFksXbaiw/JGulHTrBf2Ao6R9DTJjfftNeHvzjcsM7Pm010SfkPpi4hYBfy3\npJkkybi1c0utAAAgAElEQVQVUN436HVbElFticknr4QRB9cusB5q9Bs1zXphTN4BmJm1iu7GCZ9U\nof0O4MC6RGR9Vsgb9P5nJLzwZPfrlYzZPfX381i0NL9a7Ea/UdOspyLiaUkfAHaIiIskDQI2yjsu\nM7NmVFVNuDWe3G/QWzQHpu3b/XplSkyKMv163lcUzLIm6RsksyGPAC4C+gOXkkzWZmZmNeQk3Gqn\nmhsqj7sOttmny1WKMmlOIa8omNXXEcBI4D6AiFgkaeN8QzIza05Owq33rjsF7v1V1+usvwlMWtCj\nzRapFjv3Kwpm2XojHaowACS9Je+AzMyaVdVJuKRTI+Lc9p/1DMoK6oUnk9ru7vRxFBPXYpvl5ipJ\nvwAGSvoc8BnglznHZGbWlHrSE34McG7JT2sF1ZSYjP8TDN69Zrt0LbZZPiLi+5IOAl4iqQs/MyJu\nyjksM7Om1JtylDymq7es3DAJ7vpp1+vs+BH41BV1C8G12Gb5SZNuJ95mZnXmmvAamjGnrSESx9I4\n99jkZa5+4/Pdv+nMF2GddeofXMq12GZmZtbMnITXSFGG1evOjDltjL1mJ8YCbAC8UWHFz82CIe/J\nLjAzMzOzFuIkvEaKMqxeWXf9HG74GkCSfJdxzzq7seeZt2cXUwE0ypULMzMzaz49ScL/nP5srUyt\nSkUaVo9lL8I5w7tdbZvXLyVISkwEPFXfqAqlUa5cmGVB0lwgKi2PiHdnGI6ZWUuoOgmPiJNLf1pH\nuQ+rd8nH4Klu/j76wl8YffESD/9Hwa9cmGXv0PTnienP36Q/j8khFjOzluBylBrJfFi9R6+HKz7V\n9ToHfRtGf7lD04QxbR7+j4JduTDLWUQ8DSDpoIgonQxgoqT7gIn5RGZm1rychNdI3YfVW7YUztm6\n63XW2xgmPtPlKCYe/i+R+5ULs2KSpNER8Zf0xfuB7IZFMjNrIU7Ca6jmw+rdPhVmnd31OifdB2/f\nrkeb9fB/nhDIrILPAhdKap+laynJrJlmZlZjPZm2fhywXURMlrQV8I6ImF2/0FrQovth2oe6XueA\nM2GfU7OJp4n5ioDZ2tJz+m7tSXhE/CvnkMzMmlZVSbiknwD9gQ8Ck4FXgZ8D761faC3gjdfgl/vB\nc49WXmfXT8AR0zKdKKdV+IqAWUeSNge+AwyOiI9I2gl4X0T8KufQzMyaTrU94e+PiD0kzQGIiBck\nrVfHuJrXHT+Am8/qep1THoFNBmcSTrPx2N9mfXIxcBFwevr678CVgJNwM7MaqzYJXyFpHdJxZCW9\nHVhdt6iayeIH4Bf7dL3OJy6BnStNo2PV8tjfZn22WURcJWkSQESslLSquzeZmVnPVZuEnw9cDQyS\n9E3gaOCbdYuqka1YBr88AJY8VHmdnY+Aj1/oEpMa89jfZn32atrJ0t7hsjfgunAzszqoKgmPiF9L\nmg0cSDK54ici4sG6RtZInrkbbjwDFt5TeZ2vPgybOhGsJ4/9bdZnpwLXAttJ+gswCPhEviGZmTWn\nam/MHAy8CPxvaVtELKpXYIX2yhK4bQrc20WZ5FEXwi4fzy4m89jfZn0UEbMlfQgYQdLhMi8iVuQc\nlplZU6q2HOUW0suTwABgK+AJkhN181u1Eu67BG78b1jx6trLNxkCB30Ldj7SJSY58tjfZn0j6Qlg\nakT8vKTtuog4tIu3mZlZL1RbjvKu0teS9gT+ox4BSZoKfAx4gyTRPyEilqbLJpFMJrEK+HJEzKxH\nDAAsuCdJuhfcVX75B06BD3wFNti0/HLLXFHH/vaILdZAVgD7SdoL+HxEvAH4H6uZWR30asbMiLhH\n0gW1DiZ1EzApvSv/HGAS8LV0vNpxwM7AYOBmSTtGRG3v3F/6DPxw17Xbtz8IDjwLttilpruz2qrn\n2N+9SaY9Yos1mNci4t8knQb8WdInePMqqJmZ1VC1NeFfLnm5DvAe4B/1CCgibix5eRdwVPr8cOCK\niFgOPCXpcWBP4M6aBrDBwOTnRlvAh89O6rpdYtIU+tIj3dtk2iO2WIMRQER8T9J9wI3A2/INycys\nOVXbEz6o5PlK4GZKbtKso8+QTBQBySXR0tqQhVS4TCppPDAeYNiwYT3b4wabwFkekavZ9LVHurfJ\ntEdssQZzZvuTiLhZ0hjguL5sUNJA4AJgF5Je9c9ERG07T8zMGlC1NeH/XcudSroZ2KLMotMj4pp0\nndNJEv7Lerr9iJgGTAMYNWqUL6Van3uke5tMe8QWawSS3hkRjwJtkvbotPi6Pm7+R8ANEXFUOtPy\nhn3cnplZU+gyCZf0e7qoB4yII3uz04g4sJv9Hg8cChwQEe37byMZlaXd0LTNmlCtb2bsa490b5Np\nj9hiDeJU4HPAuWWWBbB/bzYqaVPgg8DxAOmNnm/0LkQzs+bSXU/4TzKJooSkg4HTgA9FxGsli64F\nLpd0HsmNmTsAXcyOY42qHjcz9rVHer93DuKyu57p8BdpNcl0UUdsMSsVEZ9Lf+5X401vAzwHXCRp\nN2A2cHJEdBjrtU8lhGZmDarLJDwibskqkBI/AdYHbpIEcFdEfCEiHpJ0FfAwSZnKiTUfGcUKoR43\nM/alR3rGnDaunt3WIQEX8PH3VDcSSz1HbDGrBUldXtWMiOm93PS6wB7ASRFxt6QfAROBDiWOLiE0\ns1ZU7ego2wGTgZ2ADdrbI2LHWgcUEdt3sWxyGoc1sXrczNiXHulyfxQEcOujz/U6nlbicdIbwse6\nWBZAb5PwhcDCiLg7ff07kiTczKzlVTs6ysXA2cD3gY8AJ+CxY61O6nUzY297pD3CSe95nPTGEBEn\n1Gm7z0paIGlERMwDDiC5mmlm1vKqHQB7w/bZKSPiiYg4gyQZtyY3Y04bo6fMYpuJ1zN6yixmzKn/\nvbATxoxgQP9+HdryvJmxUvLvEU6611VpkRWTpEMknSbpzPZHHzd5EnCZpAeA3YHv9D1KM7PGV21P\n+HJJ6wBPSPoCyagkG9cvLMtTe/lA29JliDcveWTVi1m0mxk9wknv+SpCY5H0c5IhBPcjGdv7KPp4\nA3xE3A+M6nt0ZmbNpdok/KvAW4Avk9Rkb0IykY41mc7lA51rjrKa7bFINzMW7Y+CRuJx0hvO+yPi\n3ZIeiIhvSjoX+GPeQZmZNaNqk/BlEfEy8DLw6TrGYzkrVz7QWSv2Yhbpj4JG4qsIDaf9P/drkgYD\n/wS2zDEeM7OmVW0Sfr6kt5JMVX9lOrOaNaFqEmz3Ylq1fBWh4VyXTjM/FbiP5GLYBfmGZGbWnKqd\ntn4fSUOAfwMuSacevjIiptQ1OstcpfKBdu7FtJ7yVYTGERHfTp9eLek6YIOI+FeeMZmZNatqR0ch\nItoi4jyS6YfnAt/u+h3WiMqNTKL055CBA/jukbs6oTJrUpL6STpM0peBE4HPSjol77jMzJpRtZP1\n7EDSC34U8ApwJfC1OsZlOXH5gFlL+3/A6yQdLatzjsXMrKlVWxN+OXAFcFhEPFPHeKwAWqF8wLM4\n1paPZ9MYGhHvzjsIM7NWUG1N+HvrHYhZVjyLY235eDaVP0r6cETcmHcgZmbNruqacLNm4Vkca8vH\ns6ncBfxe0jJJL0l6WdJLeQdlZtaMqi1HMWsansWxtnw8m8p5wPuAuRHRea4uMzOroR71hEtav16B\nmGWl0jjnHv+8d3w8m8oC4EEn4GZm9VdVEi5pT0lzgcfS17tJ+nFdIzPrwow5bYyeMottJl7P6Cmz\nmDGnrer3lhuG0eOf956PZ1N5ErhN0iRJp7Q/8g7KzKwZVVuO8j/AocAMgIj4m6T96haVreFRJ9ZW\n7Y2AlY6dh2GsLR/PpvJU+lgvfZiZWZ1Um4SvExFPSyptW1VpZasNjzpRXlc3ArYfl+6OXSsMw5gl\nH8/GJ6kfsHFE/FfesZiZtYJqa8IXSNoTiHRGta8Af69jXIZHnaikmhsBfezMeiYiVgGj847DzKxV\nVNsT/kWSkpRhwD+Am9M2qyOPOlHe4IEDaCtzDEpvBPSxM+uV+yVdC/wv8Gp7Y0RMzy8kM7PmVFVP\neEQsiYhxEbFZ+hgXEc/XO7hW51EnyqvmRkAfO7Ne2QD4J7A/8LH0cWiuEZmZNamqesIl/RJYa8iq\niBhf84hsjQljRnSoawaPOgHV3QjoY2fWcxFxQt4x9Nbwiddntq/5Uw7JbF9WW1n+OwH/W7GuVVuO\ncnPJ8w2AI0jGk7U68qgTlXV3I6CPnVnPSRoK/Jg3a8P/DJwcEQvzi8rMrDlVlYRHxJWlryX9Brij\nLhFZBx51ovdqcew8RKS1mIuAy4FPpK+PTdsOyi0iM7Mm1dtp67cBNq9lIGZFk+UQkU72rSAGRcRF\nJa8vTkfDMjOzGqt2xswXJb2QPpYCNwGT6huaWb6yGuawPdlvW7qM4M1kvyezgJrVyD8lHZsORdtP\n0rEkN2qamVmNdZuEK5mhZzdgUPp4a0RsGxFX1TMwSadKCkmblbRNkvS4pHmSxtRz/2ZZDXPoMc2t\nQD4DHA08CywGjgIa9mZNM7Mi67YcJSJC0h8iYpcsAgKQtBXwYeCZkradgHHAzsBg4GZJO6YTTJjV\nXDXjkdeCxzS3ooiIp4HD8o7DzKwVVFsTfr+kkRExp67RvOkHwGnANSVthwNXRMRy4ClJjwN7Andm\nFJO1mKyGOcwq2TerRNKZXSyOiPh2ZsGYmbWILstRJLUn6SOBv6ZlIPdJmiPpvnoEJOlwoC0i/tZp\n0RA6Dou4MG0rt43xku6VdO9zzz1XjzCtBYwdOYTvHrkrQwYOQMCQgQP47pG71vyGyWomHzKrs1fL\nPAA+C3wtr6DMzJpZdz3h9wB7UOPLk5JuBrYos+h04OskpSi9FhHTgGkAo0aNWmuSIbNqZTFEpMc0\nt7xFxLntzyVtDJxMUgt+BXBupfeZmVnvdZeECyAinqjlTiPiwLI7k3YlGf7wb8n9oAwF7pO0J9AG\nbFWy+tC0zazheTx4y5uktwGnAMcAlwB7RMSL+UZlZta8ukvCB0k6pdLCiDivlsFExFzgHe2vJc0H\nRkXE85KuBS6XdB7JjZk7kPTUm5lZH0iaChxJcgVx14h4JeeQzMyaXndJeD9gI9Ie8TxFxEOSrgIe\nBlYCJ3pkFDOzmjgVWA6cAZyeXomE5NwfEbFJXoGZmTWr7pLwxRHxrUwiKSMihnd6PRmYnE80ZmbN\nKSKqmrjNzMxqp7sTb+494GZmZmZmzaa7JPyATKIwMzMzM2shXSbhEfFCVoGYmZmZmbUK1wGamZmZ\nmWWs2mnrzcysh2bMafMkTGZmVpaTcDOzOpgxp41J0+eybEUykmrb0mVMmj4XwIm4mZm5HMXMrB6m\nzpy3JgFvt2zFKqbOnJdTRGZmViROws3M6mDR0mU9am9mkvpJmiPpurxjMTMrCifhZmZ1MHjggB61\nN7mTgUfyDsLMrEichJuZ1cGEMSMY0L9fh7YB/fsxYcyInCLKh6ShwCHABXnHYmZWJL4x08ysDtpv\nvvToKPwQOA3YuNIKksYD4wGGDRuWUVhmZvlyEm5mVidjRw5pxaR7DUmHAksiYrakfSutFxHTgGkA\no0aNiozCMzPLlctRzMysXkYDh0maD1wB7C/p0nxDMjMrBifhZmZWFxExKSKGRsRwYBwwKyKOzTks\nM7NCcBJuZmZmZpYx14SbmVndRcRtwG05h2FmVhjuCTczMzMzy5iTcDMzMzOzjDkJNzMzMzPLmJNw\nMzMzM7OMOQk3MzMzM8uYk3AzMzMzs4w5CTczMzMzy5iTcDMzMzOzjBUyCZd0kqRHJT0k6Xsl7ZMk\nPS5pnqQxecZoZmZmZtZbhZsxU9J+wOHAbhGxXNI70vadgHHAzsBg4GZJO0bEqvyiNTMzMzPruSL2\nhH8RmBIRywEiYknafjhwRUQsj4ingMeBPXOK0czMzMys14qYhO8I7CPpbkl/kvTetH0IsKBkvYVp\nm5mZmZlZQ8mlHEXSzcAWZRadThLT24C9gfcCV0natofbHw+MBxg2bFjfgjUzMzMzq7FckvCIOLDS\nMklfBKZHRAD3SFoNbAa0AVuVrDo0bSu3/WnANIBRo0ZFreI2MzMzM6uFIpajzAD2A5C0I7Ae8Dxw\nLTBO0vqStgF2AO7JLUozMzMzs14q3OgowIXAhZIeBN4Ajkt7xR+SdBXwMLASONEjo5iZmZlZIypc\nEh4RbwDHVlg2GZicbURmZmZmZrVVxHIUMzMzM7Om5iTczMzMzCxjTsLNzMzMzDLmJNzMzMzMLGNO\nws3MzMzMMuYk3MzMzMwsY07CzczMzMwy5iTczMzMzCxjTsLNzMzMzDLmJNzMzMzMLGNOws3MzMzM\nMuYk3MzMzMwsY07CzczMzMwy5iTczMzMzCxjTsLNzMzMzDLmJNzMzMzMLGNOws3MzMzMMuYk3MzM\nzMwsY07CzczMzMwy5iTczMzMzCxjTsLNzMzMzDLmJNzMzOpC0laSbpX0sKSHJJ2cd0xmZkWxbt4B\nmJlZ01oJnBoR90naGJgt6aaIeDjvwMzM8uaecDMzq4uIWBwR96XPXwYeAYbkG5WZWTG4J9zMzOpO\n0nBgJHB3mWXjgfEAw4YNyzSu3hg+8fq8Q7AGkeW/lflTDslsX1YbhesJl7S7pLsk3S/pXkl7liyb\nJOlxSfMkjckzTjMzq46kjYCrga9ExEudl0fEtIgYFRGjBg0alH2AZmY5KGJP+PeAb0bEHyV9NH29\nr6SdgHHAzsBg4GZJO0bEqhxjNTOzLkjqT5KAXxYR0/OOx8ysKArXEw4EsEn6fFNgUfr8cOCKiFge\nEU8BjwN7lnm/mZkVgCQBvwIeiYjz8o7HzKxIitgT/hVgpqTvk/yR8P60fQhwV8l6C/ENPmZmRTYa\n+DQwV9L9advXI+IPOcZkZlYIuSThkm4Gtiiz6HTgAOCrEXG1pKNJelEO7OH2G+omHzOzZhQRdwDK\nOw4zsyLKJQmPiIpJtaRfA+0TOvwvcEH6vA3YqmTVoWlbue1PA6YBjBo1Kvoar5mZmZlZLRWxJnwR\n8KH0+f7AY+nza4FxktaXtA2wA3BPDvGZmZmZmfVJEWvCPwf8SNK6wOukZSUR8ZCkq4CHSWZhO9Ej\no5iZmZlZIypcEp7WEL6nwrLJwORsIzIzMzMzq60ilqOYmZmZmTU1J+FmZmZmZhlzEm5mZmZmljEn\n4WZmZmZmGXMSbmZmZmaWMSfhZmZmZmYZcxJuZmZmZpYxJ+FmZmZmZhlzEm5mZmZmljEn4WZmZmZm\nGXMSbmZmZmaWMSfhZmZmZmYZcxJuZmZmZpaxdfMOwMzMzMysK8MnXp/ZvuZPOSST/bgn3MzMzMws\nY07CzczMzMwy5iTczMzMzCxjTsLNzMzMzDLmJNzMzMzMLGNOws3MzMzMMuYk3MzMzMwsYx4n3Mwa\nzow5bUydOY9FS5cxeOAAJowZwdiRQ/IOy8zMrGpOws2socyY08ak6XNZtmIVAG1LlzFp+lwAJ+Jm\nZtYwXI5iZg1l6sx5axLwdstWrGLqzHk5RWRmZtZzTsLNrKEsWrqsR+1mZmZFlEsSLukTkh6StFrS\nqE7LJkl6XNI8SWNK2t8jaW667H8kKfvIzSxvgwcO6FG7mZlZEeXVE/4gcCRwe2mjpJ2AccDOwMHA\nTyX1Sxf/DPgcsEP6ODizaM2sMCaMGcGA/v06tA3o348JY0bkFJGZmVnP5XJjZkQ8AlCmM/tw4IqI\nWA48JelxYE9J84FNIuKu9H2/BsYCf8wsaDMrhPabLz06ipmZNbKijY4yBLir5PXCtG1F+rxze1mS\nxgPjAYYNG1b7KM0sV2NHDnHSbWZmDa1uSbikm4Etyiw6PSKuqdd+ASJiGjANYNSoUVHPfZmZmZmZ\n9VTdkvCIOLAXb2sDtip5PTRta0ufd243MzMzM2s4RRui8FpgnKT1JW1DcgPmPRGxGHhJ0t7pqCj/\nDtS1N93MzMzMrF7yGqLwCEkLgfcB10uaCRARDwFXAQ8DNwAnRkT7rBxfAi4AHgeewDdlmpmZmVmD\nymt0lN8Dv6+wbDIwuUz7vcAudQ7NzMzMzKzuilaOYmZmTUTSwenka49Lmph3PGZmReEk3MzM6iKd\nbO184CPATsAn00nZzMxanpNwMzOrlz2BxyPiyYh4A7iCZFI2M7OWV7TJempu9uzZz0t6upvVNgOe\nzyKegvHnbi3+3I1n67wD6KMhwIKS1wuBvTqvVDrBGvCKpHl93G+j/s4bMW7HnI1uY9Y5GUVSvUY8\nzgCb6Zxex92jc3bTJ+ERMai7dSTdGxGjsoinSPy5W4s/txVV6QRrtdCov/NGjNsxZ8MxZyfLuF2O\nYmZm9VJpAjYzs5bnJNzMzOrlr8AOkraRtB4wjmRSNjOzltf05ShVqtll0Abjz91a/LktUxGxUtJ/\nAjOBfsCF6aRs9daov/NGjNsxZ8MxZyezuBURWe3LzMzMzMxwOYqZmZmZWeachJuZmZmZZaylk3BJ\nUyU9KukBSb+XNLBk2aR0muV5ksbkGWetSfqEpIckrZY0qtOypv3c0DpTaEu6UNISSQ+WtL1N0k2S\nHkt/vjXPGOtB0laSbpX0cPpv/OS0vek/u3XU1fm9qLo6NxdNI55Ly50Xi67SOa3IJG0g6R5Jf0tj\n/mbeMVVLUj9JcyRdl8X+WjoJB24CdomIdwN/ByYBpNMqjwN2Bg4GfppOv9wsHgSOBG4vbWz2z91i\nU2hfTPI7LDURuCUidgBuSV83m5XAqRGxE7A3cGL6O26Fz24dlT2/F1zZc3PRNPC59GLWPi8WXaVz\nWpEtB/aPiN2A3YGDJe2dc0zVOhl4JKudtXQSHhE3RsTK9OVdJGPYQjKt8hURsTwingIeJ5l+uSlE\nxCMRUW5Guqb+3LTQFNoRcTvwQqfmw4FL0ueXAGMzDSoDEbE4Iu5Ln79McjIdQgt8duuoi/N7YXVx\nbi6ahjyXVjgvFloX57TCisQr6cv+6aPwo4BIGgocAlyQ1T5bOgnv5DPAH9Pn5aZaLvQ/+hpp9s/d\n7J+vO5tHxOL0+bPA5nkGU2+ShgMjgbtpsc9uayk9v1vftfq5NBedzmmFlpZ13A8sAW6KiMLHDPwQ\nOA1YndUOm36ccEk3A1uUWXR6RFyTrnM6ySWfy7KMrZ6q+dzWuiIiJBW+Z6K3JG0EXA18JSJekrRm\nWbN/9lbSiOd3n5utNzqf0/KOpzsRsQrYPb0X4/eSdomIwtbiSzoUWBIRsyXtm9V+mz4Jj4gDu1ou\n6XjgUOCAeHPQ9Iafarm7z11Bw3/ubjT75+vOPyRtGRGLJW1J0kPRdCT1J/myuiwipqfNLfHZW00v\nz++56uW5uWha/VyaqQrntIYQEUsl3UpSi1/YJBwYDRwm6aPABsAmki6NiGPrudOWLkeRdDDJpYfD\nIuK1kkXXAuMkrS9pG2AH4J48YsxYs3/uVp9C+1rguPT5cUDT9bop6fL+FfBIRJxXsqjpP7t11MX5\n3fqu1c+lmeninFZYkga1j0YkaQBwEPBovlF1LSImRcTQiBhO8u95Vr0TcGjxJBz4CbAxcJOk+yX9\nHCCdVvkq4GHgBuDE9NJKU5B0hKSFwPuA6yXNhOb/3OlNWu1TaD8CXJXRFNqZk/Rb4E5ghKSFkj4L\nTAEOkvQYcGD6utmMBj4N7J/+n74/7dlohc9uHZU9vxdZpXNz0TTqubTCebHoKp3TimxL4FZJD5D8\nwXZTRGQy5F+j8bT1ZmZmZmYZa/WecDMzMzOzzDkJNzMzMzPLmJNwMzMzM7OMOQk3MzMzM8uYk3Az\nMzMzs4w5CbdCkLSqZPil+yVN7GLdsZJ2Knn9LUl9ngBD0kBJXyp5PVjS7/q63V7EMbnTsfh7enw2\nUmJ4OglJ6XvGSjqzm+1+X9L+dQ3ezMzMquIhCq0QJL0SERtVue7FwHURUdMEWdLwdLu71HK7fSXp\nMuCpiDhD0i+APwPbAlsDZ0ZEm6T/I5mU5PkutrM18MuI+HAmgZuZmVlF7gm3QpM0RdLDkh5Ie3Lf\nDxwGTE17ibeTdLGko9L150v6brrsXkl7SJop6QlJX0jX2UjSLZLukzRX0uHp7qYA26XvnZr2OD+Y\nvmcDSRel68+RtF/afryk6ZJukPSYpO/V+PMfC2wPnJU2fQn4JPAZYFKagO8ILG9PwCVdI+nf0+ef\nT5N4IuJp4O2StqhljGZmZtZz6+YdgFlqgKT7S15/F7gZOAJ4Z0SEpIERsVTStZT0hCez+nbwTETs\nLukHwMUkM45tADwI/Bx4HTgiIl6StBlwV7rNicAuEbF7ut3hJds8EYiI2FXSO4Eb0+QXYHdgJLAc\nmCfpxxGxoDSgNJb9ynzuKyKi7OyN6f6nAPumM9RBMgvgb0l6widL+kb6+e4reet44C/S/2fvvuOj\nqvL/j78+yUx6I5UkpFEFRAggIAKCuvYClhXddcWG7uru6rr9u73/dl23qatYFlFX110FG4oNKUKk\n9xoSQhJKKiG9zJzfHzPoEBNIIJk7M/k8H495kLn3zr3vmZB7P3PuuedKIfAQMMlj3gb38q92tE2l\nlFJKeYcW4cpXNB4vfo8TERuugvkZEXkL6Optb99w/7sViDLG1AK1ItIsInFAPfA7EZkGOIF0IOUU\n65wC/APAGLNLRIqA40X4h8aYGnfmHbi6iZxQhBtjHuxidtzrCQZeAH5qjMn3mPUN9/ptxphfuZdN\nBco9tnXE3T98Ka4vG1Uery8D0rqTRSmllFI9T4tw5bOMMW0iMgG4CLgBuB/oyoWFze5/nR4/H39u\nA74CJAHjjDGtIrIfV0v56fLchoMO/q5OoyX8J8AhY8y/PCca10Uc+3G18B/XCMS2e/0ooJIvFtxh\n7uWVUkopZSEtwpXPEpEoIMIYs1hEPgEK3LNqgegzWHUsUOYuwGfgalk+1XpX4CreP3J3Q8kEdgNj\nu7LB7rSEi8gkYE5X1w3sBL7q8foJwOW4usgsE5H3jDGF7tlDgf92NYtSSimleodemKl8RXi7Yfn+\ngNR5CPIAACAASURBVKsgfktEtgArge+4l30Z+J77AslBp7GtF4HxIrIV+BqwC8AYU4mrL/U2EflT\nu9c8DgS5X/MfYI4xppne8UsgAlja7jPp7L0uB3LdwxeGAk8BdxhjDuLqE/6se54d10We63opt1JK\nKaW6SIcoVCoAiMjfgDeNMR+cZJlZwFhjzE+9l0wppZRSHdGWcKUCw+9wtZ6fjA34sxeyKKWUUuoU\ntCVcKaWUUkopL9OWcKWUUkoppbxMi3CllFJKKaW8TItwpZRSSimlvEyLcKWUUkoppbxMi3CllFJK\nKaW8TItwpZRSSimlvEyLcKWUUkoppbxMi3CllFJKKaW8TItwpZRSSimlvEyLcKWUUkoppbxMi3Cl\nlFJKKaW8TItw5XdE5DciUiEih63O0h0iki0iRkRs7ufviMhtPbyNX4jICz25TqWU/xGRTBGpE5Fg\nq7P0JHH5l4hUi8gaq/N0h4hMF5ESj+fbRWR6D29jvoj8pifXqXqPFuHqpERkv4i0iEhiu+kb3QVl\ntpfzZAIPASOMMf29ue2eZoy53BjznNU5lFLWEpF3ReRXHUy/VkQOH//i3h3GmAPGmChjjKNnUvqM\nKcCXgAHGmAlWhzkTxpiRxpiPrc6hrKNFuOqKQuDm409EZBQQYVGWTKDSGFPW2xs6nQNfoOjovZ/O\n5xForXBK9ZLngK+KiLSbfivwojGmrTsr6819lw/sF7OA/caY+t7ekA+8V8v0xDHAfdZC68yT0A9H\ndcXzwNc8nt8GLPBcQESudLeOHxORYhH5hce8490w5orIQRE5JCLf7WxjIhIrIgtEpFxEikTkJyIS\nJCIXA+8Dae7TrPM7eO10ESkRkYdEpMy9rdtPtW73vDki8omI/EVEKoFftJt2VEQKRGSye3qxexu3\neay/08+hg6wfi8hd7p83u9/T8Yc5fppSRCaJyCr39jd7nr4UkRwRWSYitSLyPpDY4cY+X/4qEdnk\nXtcqETnHY95+EfmBiGwB6kXE1sm04e7sR92nU6/xWMd8EfmniCwWkXpgxsnyKKUAWAQkAFOPTxCR\nfsBVuPe1XdzH3ikiB4CP5Ivd39JE5A0RqRKRfBG52+P14SLynLi6eOwUke/Lid0mOtoP/FBE9rn3\nPTtEZJbH8t3ab7bXWVYRuRN4GjjPvZ/8ZQevnSMiK0XkYff7KRSRy0+1bve8X4jI/0TkBRE5Bsxx\nT/uve1qtiGwVkaEi8iP3+ygWkUs81nG7+zOsdb/ve07yPveL67iG+3M6vv+vF48zzafYb+eKyAb3\n9v4DhHW2Pffyd7jzVYvIEhHJ8phnROQ+EdkL7D3JtMkislZEatz/TvZYx8ci8lsR+QRoAAaeLE+f\nZ4zRhz46fQD7gYuB3cBwIBgowdUaYYBs93LTgVG4vtidAxwBZrrnZbuXfQmIdC9XDlzcyTYXAK8D\n0e7X7gHu9NhOyUnyTgfagF8BduAKXDuCfl1Y9xz3a78J2IBwj2m3u9/7b4ADwGNAKHAJUAtEdeNz\nsLmffwzc1cF7mAvsAmKAdKDS/T6CcJ2GrQSS3MuuBh5xZ5nmzvJCJ59NLlAGTHS/l9vcv99Qj9/1\nJiADCO9omvszzQd+DIQAF7q3Ocy9/HygBjjfnTfM6v/D+tCHPzyAp4CnPZ7fA2zyeN6VfcsCXPvY\n8A72N8uBx3EVaWNw7YMvdM/7A7AM6AcMALbgsZ/tZN9wI5DmznMTUA+kuufNoRv7zQ4+i5NlnQOs\nPMnnOAdoBe52b/vrwEFAurDuX7hfO9P9vsLd05qAS3EdFxbgOjv8f+794d1Aocf2rwQGAQJcgOv4\nM9bjd9j+c/3CcRD4nTunnZPst3Htg4uAB93L3uDO/5tOPptrce2/h7vfy0+AVR7zDa6GrniP3/MJ\n09z/VuM6S2PDdZa8GkhwL/+x+3c90j3fbvXfli8/LA+gD99+8HkR/hPg98Bl7j9IGx5FeAev+yvw\nF/fP2e5lz/KY/0fgmQ5eFwy04OrzfXzaPcDH7p9P2Il18PrpQCPuA497WhkwqQvrngMcaLe+OcBe\nj+ej3O8lxWNaJTCmG59Dp0U4rv6OZcBQ9/MfAM+3W2aJe0ecietAF+kx7990XoT/E/h1u2m7gQs8\nftd3dPD7v8Pj+VTgMBDkMe0l4Bfun+cDC6z+f6sPffjbw/23fxT3F1fgE+DBkyzf0b5loMf8z/Y3\nuIpnBxDtMf/3wHz3zwXApR7z7uKLxeIdp8i/CbjW/fNp7ze7kHUOpy7C8z2eR7i33b8L6/4FsLzd\n+n4BvO/x/GqgDgh2P492rz+ukzyLgG+7f57ewed6cbvlb3JPP97Q0ul+G1fDy2dfMNzzVtF5Ef4O\n7kYn9/MgXF8SstzPDe4vJB7LnDANV/G9pt0yq4E57p8/Bn5l9d+Tvzy0O4rqqueBW3Dt4Ba0nyki\nE0Vkqbi6edQA9/LFrhHFHj8X4WpFaS8R1zf6onbLpncja6U5sQ9lAxDVxXV7ZjzuiMfPjQDGmPbT\noqDLn0OHRCQDeAW4zRizxz05C7jRfRryqIgcxXWwTsX1+VWbE/tGFtG5LOChduvK4MTfQ0fv33Na\nGlBsjHG22+apPkOl1EkYY1YCFcBMERkETMD1pRo4rX2spzSgyhhT6zHN8+82rd1rT7UfQES+5tFF\n4ihwdrs8Xd5vdjNrV3w2cpYxpsH9Y1QX192VY0CF+fyC10aP9SMil4tInru7y1FcZzG7egzIBR4F\nZhljyt2TT7bfTgNKjbv69Xg/nckC/uaxnipcLfanev/tjwHtt6HHgNOkRbjqEmNMEa5TcFcAr3Ww\nyL+BN4AMY0ws8ASuP25PGR4/Z+L6Bt9eBa7TaVntli09veTdXrfhzHTlc/gCEQnH1WLyV2PMOx6z\ninG1hMd5PCKNMX8ADgH9RCSy3fvpTDHw23brijDGvOSxTEfv33PaQSBDTrzYpqc/Q6X6qgW4rr/5\nKrCkXdHalX1LZ397B4F4EYn2mOb5d3sIVzeU4zz31V9Yt7sf8VPA/bi6IcQB2zrIczpOlbW3133a\n+y8RCQVeBR7G1eofByyma8eAZFzHgPuMMRs9Zp1sv30ISBc54YLeUx0D7mm3rnBjzCqPZbpyDMhq\nN1+PAadJi3DVHXfiOi3V0VXp0bhaGJpEZAKuVvP2fioiESIyEldfwf+0X8DduvAK8FsRiXbv7L8D\nnPHY1725bg9d+Rw68iywyxjzx3bTXwCuFpFLRSRYRMLEdfHpAPcXo3XAL0UkRESm4DpV2pmngHvd\nLWoiIpHiutgr+iSvae9TXGcWvi8idnFdJHo18HI31qGU6tgCXN3/7sY1Yoqn0923YIwpxtVN4ffu\nfcg5uPbnx/d9rwA/EpF+IpKOq7g+mUhchVY5uC5GxNUSfsa6kNUn1+0WgquvdjnQJq4LQi85+Us+\nG3Xkf7i6Er7SbvbJ9turcXVJ/JZ7f3wdrjMonXkC1+95pHu7sSJyYzff42JgqIjcIq4LdG8CRgBv\ndXM9Ci3CVTcYY/YZY9Z1MvsbwK9EpBb4Ga6denvLcF0U8iHwsDHmvU7W9U1cF/kUACtxtQA9eybZ\nvbRu6Nrn0JHZwCw5cYSUqe6DxrW4LoQsx9WS8T0+/9u9BdcFO1XAz+mgq9Bx7t/d3bhOd1bj+l3M\n6c6bM8a04Cq6L8d1ZuFx4GvGmF3dWY9S6ouMMftxFYmRuFq9PZ3uvuW4m3H1Ez8ILAR+boz5wD3v\nV7guuC8EPsBVEDafJOcO4M+4isAjuPp8f9LNPKeb1WfX7e7m8i1cv5tqXPvn9r/HjgzAdb3NA+2O\nAZkn22+798fXuZ9X4epP3tGZ6uP5FgL/D3hZXKO/bMO1L+/Oe6zENWrPQ7j69X8fuMoYU9Gd9SiX\n41cLK9VrxDXMUiGuq6S7Nd6tUkop7xKRrwOzjTEXWJ1FqUCmLeFKKaVUHyYiqSJyvrjuxzAMVyvn\nQqtzKRXo+uzdoJRSSikFuPoyPwnk4Bom8WVcXc2UUr1Iu6MopZRSSinlZdodRSmllFJKKS8L+O4o\niYmJJjs72+oYSinVbevXr68wxiRZncObdJ+tlPJX3d1nB3wRnp2dzbp1nY2qp5RSvktETnb3u4Ck\n+2yllL/q7j5bu6MopZRSSinlZT5ThIvIsyJSJiLbOpkvIvJ3EckXkS0iMtbbGZVSSimllOoJPlOE\nA/OBy04y/3JgiPsxF/inFzIppZRSSinV43ymCDfGLMd129XOXAssMC55QJyIpHonnVJKKaWUUj3H\nZ4rwLkgHij2el7inKaWUUkop5Vf8qQjvMhGZKyLrRGRdeXm51XGUUkoppZQ6gT8V4aVAhsfzAe5p\nX2CMmWeMGW+MGZ+U1KeG2FVKKaWUUn7An4rwN4CvuUdJmQTUGGMOWR1KKaWUUkqp7vKZm/WIyEvA\ndCBRREqAnwN2AGPME8Bi4AogH2gAbrcmqVJKKdV3rS+qJq+gkkkDExiX1c/qOEr5LZ8pwo0xN59i\nvgHu81IcpZRSSrWzvqia2fNW0+YwhNqDePGuSVqIK3Wa/Kk7ilJKKaUstGT7YVodBgO0tjnJK6i0\nOpJSfstnWsKVUtDW2sbSl1YCMH32+dhD7BYnUkqpz20pOfrZz0FBwqSBCRamUcq/aRHuRbXVdbz3\n4iccKa4kZ8QAZtw4kbCIUKtjKR9yqOAIa97dhADDJgwh8ywdCl8p5RtW76skr6CKG8el89aWw+Rm\nxmlXFKXOgBbhXmKM4fV5H1JRepSYhCi25e1FguCyW6dZHU35kOTMRM6aMAQwpGQlWh1HKaUAcDgN\nv3xzO+lx4fx65igiQmy8tLaYY02txITpGTulTof2CfeS1pY2DhdVkpAWhz3URnz/WIp26QiL6kSh\n4aFc/8CVXP/AVYSG61kSpZRveHntAXYdruXHVwwnzB7MzNx0WtqcvLv1sNXRlPJbWoR7iT3ERr+k\naGoqajHGUFNRS39t6VRKKeXjahpb+fN7e5iQHc8Vo/oDMCYjjpzESBZu7PCeeUqpLtAi3EtEhGvv\nuZiI6HDKiqtIy0nmopvOszqWUkopdVJ//3Av1Q0t/OzqEYgI4DqmzRyTTl5hJQePNlqcUCn/pH3C\nvSgxrR+3/+w6HG0ObHb96NXJORwOgoODrY6hlOrD8svqeG7Vfmafm8HZ6bEnzJuZm8ZfPtjD65sO\n8vXpgyxKqJT/0pZwLxMRLcDVKe3I28Nf5j5J0c4Sq6Mopfqw3769g3B7MA9dMuwL87ISIhmbGcfC\njSW47qenlOoOLcKVUkop9QVLd5WxdHc537poCIlRHV8oPmvsAPYcqWPnoVovp1PK/2kRrpQPGjFp\nKA/Ou4es4QOsjqKU6oNaHU5+/fYOchIjuW1ydqfLXTUqFVuQsHCjnrVTqru0CFfKR2l/cKWUVRas\nLqKgvJ6fXDmcEFvnpUK/yBCmD0vm9U0HcTi1S4pS3aFFuFJKqQ6JSIaILBWRHSKyXUS+3cEyIiJ/\nF5F8EdkiImM95l0mIrvd837o3fTqdFXWNfPXD/YwbWgSF56VfMrlrxubTlltM6v3VXohnVKBQ4tw\npZRSnWkDHjLGjAAmAfeJyIh2y1wODHE/5gL/BBCRYOAx9/wRwM0dvFb5oD+/v4eGFgc/u2r4Z0MS\nnsyFZyUTHWrjNe2SolS3aBGulFKqQ8aYQ8aYDe6fa4GdQHq7xa4FFhiXPCBORFKBCUC+MabAGNMC\nvOxeVvmwHQeP8fKaA9w6KYvBydFdek2YPZgrRqWyZNthGlraejmhUoFDi3DVa4wxNDc2Wx1DKdUD\nRCQbyAU+bTcrHSj2eF7intbZ9I7WPVdE1onIuvLy8p6KrLrJGMOv3tpObLidBy8e2q3XzhqbTn2L\ng/d3HOmldEoFHi3CVa8p3XuIV//yFk0NWogr5c9EJAp4FXjAGHOsp9dvjJlnjBlvjBmflJTU06tX\nXfTutsPkFVTxnUuGERth79ZrJ2THkxYbprexV6obtAhXvSYlO4kp100iNDzE6ihKqdMkInZcBfiL\nxpjXOlikFMjweD7APa2z6coHNbU6+O3inQxLiebmczNO/YJ2goKEa3PTWbG3gvJabXhRqiu0CFe9\nxh5iJ/Os9C5d2KOU8j3i+uN9BthpjHmkk8XeAL7mHiVlElBjjDkErAWGiEiOiIQAs93LKh/0zMpC\nSqob+dnVI7AFn15pcF1uOg6n4a0tB3s4nVKBSe+frig/WM36j7bT1tLG6KnDyBiSanWkgNXW2obT\naQgJ7d6pXqUscj5wK7BVRDa5p/0YyAQwxjwBLAauAPKBBuB297w2EbkfWAIEA88aY7Z7N77qiiPH\nmnhsaT6Xjkzh/MGJp72eISnRjEyLYeHGUm4/P6cHEyoVmLQI7+OOlh/j5UfexuFwEhwcxK4Nhdz0\n7cvJGNLf6mgBp6G2kRd+9V8a65u5+UezSM44/YOdUt5gjFkJnPRUljHGAPd1Mm8xriJd+bD/9+4u\n2hyG/7vizEeQnJWbzm/e3kl+WR2Dk6N6IJ1SgUu7o/RxRbsP0dTYQkL/OOKSYrCH2NixJt/qWAGp\npuIYVUdqqKuup6K0yuo4SinFxgPVvLahlDun5pCZEHHG67tmdBpBAq9v0u7/Sp2KFuF9nD3EBubz\nWw072pyEhOmFlL2hf3YyX7p1Ghd8+TwG5+qpWqWUtZxOwy/f3EFSdCj3zRjcI+tMjgnj/MGJLNxY\nilNvY6/USWkR3scNPHsAyRmJHC6q4MiBCsIjQ8m9YLjVsQKSiDDuS6OZMmui9glXSlnu9c2lbCo+\nyvcvHUZUaM/1Tp2Vm05JdSPrD1T32DqVCkTaJ7yPC4sIZfYDl7N/ZykOh5PMoalExZ75KUmllFK+\nq765jT+8s4tzBsRy/dgBPbruS0f2J9y+jYUbSzk3O75H161UINGWcB9jjGHvpv2sWLSWPRsKMab3\nT+eFhocwbGwOI84dpAW4Ukr1AU8s28eRY838/OqRBAX17DCykaE2Lh2ZwttbDtHc5ujRdSsVSLQI\n9zGbl+9k4WPvse6DbSz65/us+2Cr1ZGUUkoFkOKqBp5cXsDMMWmMy+rXK9uYmZtOTWMrS3eV98r6\nlQoEWoT7mE3LdhKXFENiWj/6pcSyedlOqyMppZQKIL9/ZyfBIvzg8rN6bRtTBieSGBXKIr2NvVKd\n0iLcx0T3i6KxvgmAxrpmovpFWpxIKaVUoMgrqGTx1sN8ffogUmPDe207tuAgrhmdxke7yqhpaO21\n7Sjlz7QI9zEzvjyJyOhwyksqCY2w86Vbzrc6klJKqQDgcA9JmB4XztxpA3t9e7Ny02lxOHl766Fe\n35ZS/khHR/Ex8Smx3P6LG2g41kh4dBg2u/6KlFJKnbn/rC1m56FjPHpLLmH24F7f3tnpMQxOjmLR\nxlJumZjZ69tTyt9oS7gPCrYFEx0fpQW4UkqpHlHT2Mqf39vNhOx4rhyV6pVtigizctNZs7+K4qoG\nr2xTKX+iRbhSSikV4P7x4V6qGlr42dUjEOnZIQlP5prRaYDexl6pjmgRrpRSSgWwfeV1zF+1n5vG\nZ3B2eqxXt50RH8GEnHgWbiz1yn0vlPInWoQrpc6IMYaC4goWvreZl95ax4btB2hu0dEQlPIVv317\nJ+H2YB66ZJgl25+Vm86+8nq2ltZYsn2lfJUW4Uqp02aM4aPVe3jh9TXsLSrjUFkNby/dzoKFa2hs\n0kJcKast3V3GR7vK+NZFQ0iKDrUkwxVnpxISHMRCHTNcqRNoEa6UOm3lVXWs3lhASmIM8bGRxESF\nk5ocy+HyY2zYfsDqeEr1aa0OJ795awc5iZHcNjnbshyxEXYuPCuZNzcfpM3htCyHUr5Gi3Cl1Gkr\nLKkEhOCgE3clcTHhbN190JpQSikAnl9dxL7yen5y5XBCbNYe7meNTaeiroUV+RWW5lDKl2gRrpQ6\nbUFBHY+yYEzn85RSva+yrpm/fLCHaUOTuPCsZKvjMH1YErHhdr2NvVIetAhXSp22gRmJgKGtzfHZ\nNGMMR2sbGT18gHXBlOrjHnl/Dw0tDn565XCvDknYmVBbMFeek8qS7Yepa26zOo5SPkGLcKXUaUuI\ni+SiycMor66jrKqWyqP1HCo/Rs6ABMZoEa6UJXYeOsZLaw5w66QshqREWx3nM9flptPU6mTJtsNW\nR1HKJ+gtGZVSZ+S83IFkpyewPf8QTc1tDMlKYlBmIjZb798WWyl1ImMMv3pzB7Hhdh68eKjVcU4w\nLqsfA/qFs2hTKdeP0y/pSmkRrpQ6Y6nJsaQme/cmIEqpL1qy/QirCyr59bUjiY2wWx3nBMdvY//Y\n0nyOHGsiJSbM6khKWUq7oyillFIBoKnVwW8X72BYSjQ3T8i0Ok6HZuam4zTwxiYdPUkpLcKVUkqp\nAPDMykKKqxr52dUjsAX75uF9UFIUowfE6o17lEKLcKUCRktTCwv//jYv/3ER9ccarI6jlPKiI8ea\neGxpPpeMSOH8wYlWxzmpmbnp7Dh0jN2Ha62OopSltAhXKkCUHahgZ14++zbup3TvIavjqAAhIs+K\nSJmIbOtk/vdEZJP7sU1EHCIS7563X0S2uuet827yvuWP7+6mzWH4vyuHWx3llK4enUZwkGhruOrz\nfKYIF5HLRGS3iOSLyA87mB8rIm+KyGYR2S4it1uRUylflZKdxDkXDGfEeUPIGJZmdRwVOOYDl3U2\n0xjzJ2PMGGPMGOBHwDJjTJXHIjPc88f3cs4+a1PxUV7dUMKdU3PISoi0Os4pJUaFMm1IIq9vKsXp\nNFbHUcoyPlGEi0gw8BhwOTACuFlERrRb7D5ghzFmNDAd+LOIhHg1qFI+zB5i56p7LmHWt64kPCrc\n6jgqQBhjlgNVp1zQ5WbgpV6Mo9oxxvDLN7eTFB3KfTMGWx2ny2bmpnOopolPC7v6X0upwOMTRTgw\nAcg3xhQYY1qAl4Fr2y1jgGhx3forCtdBQW+7pZRSPkBEInC1mL/qMdkAH4jIehGZe5LXzhWRdSKy\nrry8vLejBpTXNx1k44GjfP/SYUSF+s+ow5eM6E9kSDALN5ZYHUUpy/hKEZ4OFHs8L3FP8/QoMBw4\nCGwFvm2McXa0Mt2hK6WU110NfNKuK8oUdzeVy4H7RGRaRy80xswzxow3xoxPSkryRtaA0NDSxh/e\n2cU5A2K5fqx/3fwmPCSYy85O5Z2th2lqdVgdRylL+EoR3hWXApuANGAM8KiIxHS0oO7Q+w6Hw4mj\nTXfgSvmA2bTrimKMKXX/WwYsxHXWU/WA9UXV3Dl/LYePNfHzq0cQFCRWR+q2Wbnp1Da38eHOMquj\nKGUJXynCS4EMj+cD3NM83Q68ZlzygULgLC/lUz5o55p8/vHAc/z1m/9i9dsbMEYv8FHKCiISC1wA\nvO4xLVJEoo//DFwCdDjCiuqe9UXV3PJUHqsLqnDV3v5XgAOcNyiBlJhQ7ZKi+ixfKcLXAkNEJMd9\nseVs4I12yxwALgIQkRRgGFDg1ZTKZ9RW1/PO/GVExUaQ0D+Ola+v4+C+I1bHUirgiMhLwGpgmIiU\niMidInKviNzrsdgs4D1jTL3HtBRgpYhsBtYAbxtj3vVe8sCVV1BJc5vzhOf+KDhIuHZMOh/vLqeq\nvsXqOEp5nU9cxWGMaROR+4ElQDDwrDFm+/GdvDHmCeDXwHwR2Yrra/8PjDEVloVWlmpqaMYYQ2i4\na4AcCRIa6posTqVU4DHG3NyFZebjGsrQc1oBMLp3UvVtabGu0Y8ECLEFMWlggrWBzsDMMenMW17A\n21sOcut52VbHUcqrfKIIBzDGLAYWt5v2hMfPB3GdzlSKfskxJA9I4ND+coKChMiYcNJykq2OpQKE\nw+EEYwi2BVsdRakveGfbISLswdw5NYfpw5IZl9XP6kinbURaDGf1j+a1jaVahKs+x2eKcKW6w2a3\nceMDV7A9bw+tLQ6GnzuIyNgIq2OpALDz070seW45xhguuuV8zpnq+3cgVH3HpuKjvLfjCA99aSjf\nvGiI1XF6xMzcdP7wzi72V9STnej7NxtSqqf4Sp9wpbotLDKUcReNYtLlY4hNjLY6jgoATQ3NvPvc\nMqLjI4lNjOb9F1ZQW11/6hcq5SUPL9lNQmQIt0/JsTpKj7l2TBoisGiT3sZe9S1ahCullJuj1YGj\nzYnNbiPYbsM4wdGq9wRTvmFVfgUr8yu4b8Zgv7oxz6mkxoZz3sAEFm4s1VGuVJ+iRbhSSrlFxIQz\n7qKzKS+pory4glFThhGb1OHtCJTyKmMMf1yym7TYMG6ZmGl1nB43MzedosoGNhYftTqKUl4TOF+l\nlVLqDIkI0798HiPPG4oxkJQRj4h/jsGsAssHO8vYVHyU/3f9KMLsgXfB8OVn9+eni7axaGMpYzP9\n90JTpbpDW8KVUsqDiJCcmUhKViJBQbqLVNZzOg0PL9lNTmKk392evquiw+x8aUQKb24+SIvHGOhK\nBTI9wiillFI+7M0tB9l9pJbvfGkotuDAPWzPyk2nuqGV5XvKrY6ilFcE7l+zUkop5edaHU4eeX8P\nw1NjuHJUqtVxetW0oUnER4awUEdJUX2EFuFKKaWUj/rvuhKKKhv43qVDCQoK7OsT7MFBXH1OKu/v\nOMKxplar4yjV67QIV0oppXxQU6uDv3+4l3FZ/ZgxrG/cEXhmbjotbU7e3XrY6ihK9TotwpVSSikf\n9EJeEYePNfG9S4f1mVF6xmTEkZMYycKN2iVFBT4twpVSSikfU9vUymNL85k6JJFJAxOsjuM1IsLM\nMenkFVZy8Gij1XGU6lVahCullFI+5tmV+6luaOV7lw6zOorXzcxNwxh4fdNBq6Mo1au0CFfdUl9T\nz7v/+oiSPbpzVEqp3lBd38JTKwq4bGR/zhkQZ3Ucr8tKiGRsZhwLN5bobexVQNMiXHXLoYIyPlm0\nhm2f7LI6ilJKBaQnlu2jvqWNhy4ZanUUy8waO4A9R+rYeajW6ihK9RotwlW35IzK5Gs//zJT4TvZ\nHAAAIABJREFUr5todRSllAo4R441MX/VfmblpjMkJdrqOJa5alQqtiBh4cYSq6Mo1Wu0CFfdEmwL\nZsjYgUTGRlodRSmlAs4/PtqL0xgevLjvtoID9IsMYfqwZF7fdBCHU7ukqMCkRfhJONocOJ1Oq2Mo\npZTqAw5UNvDymmJmn5tJRnyE1XEsd93YdMpqm1m9r9LqKEr1CpvVAXxRfW0TS9/YwJ4txYSG2Zl4\n0UjGTR3aZ8ZpVUop5X1//WAPtmDhmxcOtjqKT7jwrGSiQ228trGEKUMSrY6jVI/TlvB2jDG883Ie\ne7cWk9g/lvDIUJa+vp7dmw9YHU0ppVSA2nOkloWbSrltcjbJMWFWx/EJYfZgrhiVypJth2loabM6\njlI9TovwdupqGjmQf4TE/nEEBQUREmonKjaCzXn7rI6mlFIqQP35vd1Ehdi4d9ogq6P4lFlj06lv\ncfD+jiNWR1Gqx2kR3o4ECcaA59CkxmkItulHpU7UWNfEsao6HcdWKXVGNhcfZcn2I9w9bSD9IkOs\njuNTJmTHkxYbprexVwFJ+4S3ExUTzpBRA9izpZiE5BhaW9qor2sid/IQq6MpH7J99R6WLFiO02kY\nPmEwl825gOBg/aKmlOq+h9/bTXxkCHdMybE6is8JChKuzU1n3vICymubSYoOtTqSUj1Gq4YOXHrj\nBMZNHUpDXRP2EBtXfmUyA4enWR1L+Yjmxhbee34FsUnRJA2IZ0feHop36R1EVWASkWdFpExEtnUy\nf7qI1IjIJvfjZx7zLhOR3SKSLyI/9F5q/7FqXwUr9lbwjemDiArVdrGOXJebjsNpeGuL7mdVYNG/\n+A6EhtmZcc1YZlwz1uooygc5HU4cDic2WzBBQa4Rc1r1oiEVuOYDjwILTrLMCmPMVZ4TRCQYeAz4\nElACrBWRN4wxO3orqL8xxvDwkt2kxobx1UlZVsfxWUNSohmZFsPCjaXcfr6eLVCBQ1vCleqm8Kgw\ncqePoKy4kiNFFSRnJpJ5lp4p8VX1dU188O5WHv/LEuY/uZRtmw9oP/5uMMYsB6pO46UTgHxjTIEx\npgV4Gbi2R8P5uQ93lrHhwFG+ddEQwuzBVsfxabNy09lSUkN+WZ3VUZTqMdoSrtRpuHD2ZIaOG0hr\ncyvpg/sTGq4XU/milpY2/vP8J1RV1hEXH0VTUytvL9xAQ10zE87X6zx60GQR2QKUAt81xmwH0oFi\nj2VKgIlWhPNFTqfh4fd2k50QwQ3jBlgdx+ddMzqN3y3eyeubSnnokmFWx1EBbP3+Kj7cVcZFw1MY\nl9WvV7elRbhSp0FEyBiaanUMdQqF+UeorKgjJTUOgJAQG/YQG6tX7iF3wkDs2vrYEzYAmcaYOhG5\nAlgEdOsbjojMBeYCZGZm9nxCH/TmloPsOlzL32aPwa4XdZ9SckwY5w9O5OW1Bwi1BXHeoMReL5BU\n37O+qJqbn/qUFoeTp1cU8tLcSb36/0z/8pVSAavmaMMX7nRrtwfT1uagsaHZolSBxRhzzBhT5/55\nMWAXkURcreIZHosOcE/raB3zjDHjjTHjk5KSej2z1VodTv7y/h7O6h/N1edoV7auys2Io7y2hUfe\n38NXns5jfVG11ZFUgMkrqKTF4QTA4XSSV1DZq9vTIlypAGFMG6Z1N87G13E2vIqzeR3GNFody1JJ\nyTE4neaEPuBNTa2Eh4cQGal3JewJItJf3N90RGQCruNKJbAWGCIiOSISAswG3rAuqe/43/oS9lc2\n8N1Lhn12cbc6tSD3F2qngda23i+QVN+TGus6LghgtwUxaWBCr25Pu6MoFQCMowLTMB8cFYANJAha\n1mCa3sCE30JQyFlWR7REZk4S2TlJFBaUERUdRlurg+aWNq6aOVZvwNVFIvISMB1IFJES4OeAHcAY\n8wRwA/B1EWkDGoHZxvWtp01E7geWAMHAs+6+4n1aU6uDv32wl9zMOC4anmx1HL8ydWgS/1iaj8Np\nsAX3foGk+p6V+RWE2oKYO20g04cla59wpdTJGdOIqX8KTBMEtzu1bRqgYT4m6H7E1vcu/goODmLm\nTRPYsbWE3TsPEhkZyphx2QzI1IN3Vxljbj7F/EdxDWHY0bzFwOLeyOWvXsgr4vCxJh65afQXukqp\nkxuX1Y8nbx3HPc+vZ8pg7ROuetahmkbe2HSQr07K8trFv1qEK+XnTMtWcB6F4PQvzpQIoB7TvAyx\nfcXr2XxBSIiNMeOyGTMu2+ooqo+ra27j8Y/3MWVwIpMHJVodxy9dPDyFr0zM5KU1Bzh4tJG0uHCr\nI6kA8ezKQgxwpxfvXKvnY5Xyd63rQKI7nx+UAK3bMEYvRFTKSs+uLKSqvoXvXqpD7J2Jey4YhDEw\nb3mB1VFUgKhpbOWlNcVcOSqVjPgIr21Xi3Cl/J2zHsTe+XwJAgyYVq9FUkqdqLq+haeWF3DJiBTG\nZMRZHcevpceFMys3nZfWHKC8VhsX1Jn796cHqGtuY+60gV7drhbhSvm74FQw9Z3PN80gYa6HUsoS\nTyzfR11Lm7aC95CvTx9Eq8PJMysLrY6i/Fxzm4N/fVLIlMGJnJ0e69VtaxGulJ+T0EmuizKNs+MF\nnBUQOgURvQREKSscOdbEc6v2M2tMOkNTTtJ1THXZwKQorhiVygt5RdQ06Fk+dfpe33SQstpm7rnA\nu63goEW4Uv4veCCEjAVnKZiWz6cbBzgPQ3AyEnKedfl6SWN9MxtX7WXpGxvI316Kw9HJlxClLPbo\nR/m0OQwPXDzU6igB5b4Zg6lrbmP+qv1WR1F+yuk0zFtewIjUGKYM9v7F0to0ppSfEwmC8BswQUnQ\nvBycLa47DQDYxyBhVyJBkZZm7Gn1tU28/PiHHK2swx4SzLrlezhn0iAuuX68DvumfMqBygZeWnOA\n2RMyyEzw3gVffcHw1BguHp7Mv1YVctfUHCJDtaRR3bN0dxn5ZXX89aYxlhw79H+sUgFAxIaEXYQJ\nnQqOQ4ATghKRoMA89b1jw36OVtWRMsA1TrDTadi2tpDxU4eSkOLdPn1KncxfP9xDcJDwzQuHWB0l\nIN03YzCzHl/Fi58WMXfaIKvjKD/z5LIC0uPCufKcVEu2r91RlAogIiGILQux5QRsAQ5QcbiGkNDP\nR4QJChJE4NjRBgtTKXWiPUdqWbixlDmTs0mJ0Quje0NuZj/OH5zAUysKaWp1WB1H+ZENB6pZs7+K\nO6bkYA+2phzWIlwp5XeyhqTQ1NCM6+7o0NrSBkBSqnVDv9UeredwcSX1xxoty6B8yyPv7SEyxMa9\nF2gLbW+6b8Zgymub+e+6YqujKD8yb1kBseF2Zp+bYVkG7Y6ilOp1VUfrKS2rwW4LJjs9nrDQk4xr\n3gVDR2Wwd1QJ+dtLXcOgI1w0cxxRMdbcPW/98t0se2sjIhAkwqWzJ3HWmCxLsijfsLn4KO9uP8yD\nFw+lX2SI1XEC2nkDExibGccTywqYPSHTslZN5T8KK+pZsuMw35g+yNJrCbQIV0r1GqfT8OHq3Xy6\nyXU7YEGw24O5/tLRDM5KPu312uzBXPO18zlSUk3dsQaS0/oR08+ai08PFlWw9I31JKbEYLPbaG5q\n5Z2XVtN/QDxxiYHbJUid3MPv7SY+MoQ7p3rvFth9lYhw/4WDuWP+OhZtLOXG8da1bCr/8PSKAuzB\nQdw2OdvSHPp1USnVa3YVHGbVhgKSEqJJTYqlf1IMEWEh/PfdTdTWN53RukWE/hnxDB45wLICHKCq\n7BgC2OyuNo3QMDvGQHV5rWWZlLVW76tkxd4KvjF9EFE6YodXzBiWzPDUGP65bB8Op7E6jvJhFXXN\n/Hd9CdePTSc52tprNbQIV0r1mrVbDxAdGUZw0Oe7mvAwO21tDvbuL7cwWc8JiwjBOM1n/dONMTgd\nTkIjtAtCX2SM4eH3dtM/JoyvTtIuSd4iItw3YxAF5fW8u+2w1XGUD1uwaj+tDid3TfX+zXna0yJc\nKdVr6huaCbEHf2F6kAgNTS0dvML/5AxLJXtYKocPVFFx+CiHD1Qxcnw2qZkJVkdTFli6u4z1RdV8\n66IhhHXwf1/1nsvPTmVgUiSPLs3/7EuxUp4aWtpYkFfEl4anMCgpyuo4vlOEi8hlIrJbRPJF5Ied\nLDNdRDaJyHYRWebtjEqp7hmclcSxuhO7nRhjcBrDgBTrRjLpScG2YGbecQGX33Ie46eP4OrbpnDJ\nlyfpTYP6IKfT8Kcle8hKiODG8QOsjtPnBAcJX79gEDsPHWPp7jKr4wSE9UXVPLY0n/VF1VZH6RGv\nrC3maEOrJbeo74hPdFYTkWDgMeBLQAmwVkTeMMbs8FgmDngcuMwYc0BETv+qLqWUV5x7ThZbdx+k\norqWuJgIHA5D5dF6BmUkkpkWb3W8HmOzB3P2ub6xU1fWeWvrIXYeOsbfZo/RETosMjM3nb9+sJdH\nP8pnxrBk/TJ8BtYXVTP7ydW0OQ2h9iBevGsS47L6WR3rtLU5nDy9spDxWf0Yl+Ubxx9f2UtMAPKN\nMQXGmBbgZeDadsvcArxmjDkAYIzRr7lK+bh+MRHcfv0khg9Kpaa2idbWNmZMHMINl+cSFOQbB0c9\nba16QqvDySPv7eas/tFcfU6a1XH6LHtwEPdeMJANB46yuqDS6jh+7ZH39tDqNBigpc1Jnp9/nou3\nHaakupG503ynwcQnWsKBdMBzlP0SYGK7ZYYCdhH5GIgG/maMWdDRykRkLjAXIDMzs8fDKqW6Lj4u\nkmsvPucL36qt5nA4+eCFFWxduYv+WUlc841LiIm3vo+g8k+vri9hf2UDT31tvM98weyrbhyfwd8/\nyuexpflMHpRodRy/9OhHe/lkXwVBAk4DxsB4P24FN8Ywb/k+BiZFcvHwFKvjfMZXWsK7wgaMA64E\nLgV+KiJDO1rQGDPPGDPeGDM+KSnJmxmV8gkOh5Ptq/ewYtFaivccsjqOTyrYUsSmj7eTNCCesuIK\nPlm0xupIyk81tTr424d7GZMRx8XDtaek1cLswdw9NYdP8ivZeCAw+jJ70+Mf5/Pwe3u4Ljed/9xz\nHtflpmOAlfkVVkc7bav2VbKt9Bhzpw70qS/JvlKElwKeo+sPcE/zVAIsMcbUG2MqgOXAaC/lU8qv\nLH/tU956+iPWvbeFlx9+k8IdJVZH8jmtzW2ICEFBQdhD7TTVN1sdSfmpFz89wKGaJr5/6TDtg+wj\nvjIxi7gIO48tzbc6il95ctk+/vjubmaOSeNPN47m3Ox4HrlpDNePHcDjH+9jS8lRqyOelieXF5AY\nFcrM3HSro5zAV4rwtcAQEckRkRBgNvBGu2VeB6aIiE1EInB1V9np5ZxK+YUtK3aTnJFAYno8oeEh\n7PpUD0TtDRyVQf/sJMqKKzDGMOnKcVZHUn6orrmNx5fmc/7gBCYP1q4PviIy1Mbtk3P4YGcZOw8d\nszqOX3h6RQG/f2cXV49O4+EbRxPs0WL8s6tHkBgVwkOvbKa5zWFhyu7bcfAYy/eUc/v52T43bKhP\nFOHGmDbgfmAJrsL6FWPMdhG5V0TudS+zE3gX2AKsAZ42xmyzKrPyfU6nkw0fbeeVvyzmo1dW09TQ\nd1o6+yXHUHe0AWMMzQ0txCbFWB3J54RFhnHzD2dy609v4K7f3UzqQO1GoLrvt2/toLK+hav0Ykyf\nM2dyNlGhNm0N74JnVhbym7d3cuU5qfzly6OxtRvdJzbczh+uP4e9ZXX85f29FqU8PU+tKCAiJJiv\nTvS9m2f5RBEOYIxZbIwZaowZZIz5rXvaE8aYJzyW+ZMxZoQx5mxjzF+tS6v8weblu3j/359Qeego\n6z/cxrsLllsdyWuuuGM64VFhHCmuZNCYTMZddLbVkXySPcRGckYCEdHhVkdRfmj57nJeWusaU+CX\nb24PmLGUA0VshJ2vTsri7a2HKCivszqOz3pu1X5+/dYOLj+7P3+9acwXCvDjZgxL5qbxGcxbvo8N\nftLXvvRoI29uPsjNEzKJjbBbHecLfKYIV6qnFWw9QHS/CKLiIkjOSKRgy4E+MxxdYlo8d/76yzz4\n6O1cd99lhIbrLdSV6mn/Wff5oF6tATCEWyC6c0oOIcFB/PPjfVZH8UnP5xXx8ze2c+nIFP5+c+4p\nx7f/yVXD6R8Txnf/u5mmVt/vlvLsykIMcMeUHKujdEiLcBWwUjITqT/WiKPNwdHyGpIzEvrURVMi\ngs3uK6OQ+i6n00l9TX2f+YLWXSLyrIiUiUiH3f9E5CsiskVEtorIKhEZ7TFvv3v6JhFZ573U3nG8\nb2ywgN0WxKSBCRYnUu0lRYdy84RMFm4spaS6weo4PuXfnx7gp4u2cfHwFP5x89gu3WAqOszOH28Y\nTUF5PX9+b7cXUp6+moZWXl5zgKvPSSU9zjfPdmoRrgLWhEtHM3LSEGoqaklKi+equy60OpLyMU6n\nk4V/e5tHv/Usi5/+QAvxjs0HLjvJ/ELgAmPMKODXwLx282cYY8YYY8b3Uj7L7CuvZ3xWP75zyTC/\nv5tgIJs7bSAiMG95gdVRfMbLaw7w44VbufCsZB77Si4htq6Xg1OGJPKViZk8vbKQdfurejHlmXnh\n0yLqWxzMnTbI6iid0iJcBayQMDtX3D6db/99Drf84Bri9OJE1U59TQP5m4pIzkhk28pdtLW2WR3J\n5xhjlgOdHmmNMauMMcc7iObhGmI24JUda6Kwop5LRqZw34zBWoD7sLS4cK7LHcDLa4spq22yOo7l\nXllXzI8WbmX6sCT++dWxhNq6P2LIj64YTnpcON/972YaWnxvv9nc5mD+qv1MHZLIiDTfPfZrEa6U\n6rMiYyMYMWkIZcWVjL34HOwhvnfhjp+5E3jH47kBPhCR9e47GXdIROaKyDoRWVdeXt7rIXtCXqHr\ne8nEHO2C4g/unT6INoeTZ1YUWh3FUv9bX8IPXt3C1CFJPPHVcadVgANEhdr40w2j2V/ZwB/f9b1u\nKYs2llJe28y9F/huKzhoEa6U6sOCgoK46t5LePDJuVz81WlWx/FrIjIDVxH+A4/JU4wxY4DLgftE\npMMP2R/vcpxXUElUqI2RPtzKpj6XkxjJleek8UJeEUcbWqyOY4mFG0v43v82M2VwIvNuHXfGY2af\nNyiBOZOzmb9qv09dlOx0Gp5cXsDItBgmD/LtL8lahCul+jQRISQspE9dtNvTROQc4GngWmPMZ0dj\nY0yp+98yYCEwwZqEPe/TgkrGZ/frdDg35XvumzGI+hYH//pkv9VRvO71TaU89MpmzhuYwLxbx/fY\nTWu+f9kwshIi+N7/NlPf7BvdUj7cVUZBeb37WgDf3q/r3kMppdRpE5FM4DXgVmPMHo/pkSISffxn\n4BIgIG6wVl7bzL7yeu2K4mfO6h/DxcNTmL9qP3U+UjB6w5ubD/LgfzYxISeeZ247l/CQnrtrZESI\njYdvHE1JdSO/f8c3bmL+5LJ9pMeFc+WoVKujnJIW4UoppTolIi8Bq4FhIlIiInd63s0Y+BmQADze\nbijCFGCliGzGdZfjt40x73r9DfSCTwtdjf2TBsZbnER11/0XDqamsZUX84qsjuIVb285xAP/2cT4\n7HiendOzBfhx52bHc+f5ObyQd4CVeyt6fP3dsb6omnVF1dw1NccvzlLpIMJKKaU6ZYy5+RTz7wLu\n6mB6ATD6i6/wf58WVBEREszZ6bFWR1HdNCYjjimDE3lqRSG3Tc7usW4ZvujdbYf41ssbyc2I419z\nziUipPdKvu9eOoyPdpXxg1e38O4DU4kOs+Yi93nL9xEXYeemczMs2X53+f7XBKWUUsqHfFpYybis\nfl26uYnyPffNGExFXTOveNzxNNC8t/0w9/97I6MHxDL/jglEhvZum2uYPZiHvzyaQzWN/G6xNd1S\nCsrreG/HEW6dlNWrXzh6ku5BlFJKqS6qrGtmz5E6vTumH5s0MJ5xWf14clkBrQ6n1XF63Ac7jnDf\nvzdwdnosz90xgaheLsCPG5vZj7unDeSlNcV8vLvMK9v09NSKQuzBQdw2Odvr2z5dWoQrpZRSXbTG\nPT649gf3XyLC/TMGU3q0kYUbS62O06OW7irjGy9uYERqDAvunOD1biEPXjyUIclR/PDVrdQ0tnpt\nu+W1zby6oYQbxg0gMSrUa9s9U1qEK6WUUl30aWEVYfYgRqXHWR1FnYHpw5IYmRbDPz/eh8NprI7T\nIz7eXcY9z69nWP9oFtw5kRgL+mWH2YN5+MbRlNc18+u3dnhtu8+t2k+rw8ndUwd6bZs9QYvwPsDp\ndLL1k928+/xyNn68HUebw+pISinll/IKKhmfFU+ITQ+f/kxEuG/GYAor6lm89ZDVcc7Y8j3lzH1+\nPUNSonj+zgnEhlt399/RGXF8/YJB/G99CR/uPNLr26tvbuP5vCIuHdGfnMTIXt9eT9K9SB+w6u2N\nvDN/GXs27Of9Fz/h41fXWB1JKaX8TnV9C7sO1zIxR7uiBILLRvZnUFIkjy3Nxxj/bQ1fubeCuxes\nY1BSFC/cOZG4iBCrI/HNiwZzVv9ofvja1l6/Q+l/1hZT09jK3Av8qxUctAjvE7Ys30Viej/6JceQ\nnJXIlhW7/HqHo5RSVliz39UffKJelBkQgoKEb0wfzK7DtXy40/sXEvaEVfkV3LVgLTmJkbx410T6\nRVpfgAOE2lzdUqrrW/jFG9t7bTutDifPrCxkQnY8YzP79dp2eosW4X1ARHQYTY2ub6LNDS2ER4b6\n/K1clVLK13xaUEWoLYjRGTo+eKC4ZkwaA/qF86gftobnFVRyx3NryYyP4MW7JhLvIwX4cWenx3L/\nhYNZtOkg72473CvbWLz1EKVHG5k7zf9awUGL8D7hkq9MwdHioKKkiqa6Ji6bc4HVkZRSyu/kFVQy\nNrMfobbAvcFLX2MPDuLeCwaxqfgoq/ZVWh2ny9YUVnH7v9YyoF8EL941iQQfHRHkvhmDGZEaw08W\nbaWqvme7pRhjeHJZAYOSIrnwrOQeXbe3aBHeB6QNSuHOX93I7O9exV2//jLZw9OtjqSUUn6lpqGV\nnYePMVGHJgw4N4wbQHJ0KI9+lG91lC5Zt7+KOf9aQ1pcGP++eyJJ0b5ZgIPrS84jN42mprGVn76+\nrUfXvTK/gh2HjnHPtEEEBfnn2X0twvuIiOhwUnOSiYyNsDqKUkr5nbX7qzAGJuZof/BAE2YPZu60\ngawuqGR9UbXVcU5qfVE1tz27hv4xYbx09ySSo8OsjnRKZ/WP4YGLh/L2lkO8teVgj6133vICkqND\nuTY3rcfW6W1ahCullFKnkFdQSYgtiNxMHR88EN08IZO4CDuPLfXd1vBNxUeZ8+wakqJD+ffdk0iO\n8f0C/Lh7pg3knAGx/HTRNsprm894fdsP1rBibwW3n5/j193DtAhXSqke1NLSxs5dB1mdl8/e/CO0\n6bj8AeHTwirGZMQRZvffA77qXGSojTvOz+GjXWVsP1hjdZwTrC+q5qeLtnHLU3nER4Xw0txJ9I/1\nnwIcwBYcxJ9vHE19s4OfLNp6xhfBzlteQGRIMLdMzOyhhNbo8SJcRL4pIv43ToxSSp2hmmON/GvB\nCha9uZEVn+zh1UXrWPDiKurrz7zlR1nnWFMr2w/WMEnHBw9ot52XTVSojceX7rM6ymfW7q9i9rzV\nPJ9XRGOLgx9fMZzU2HCrY52WISnRfOeSoSzZfoQ3Np9+t5SS6gbe2nKIWyZmWnpTop7QGy3hKcBa\nEXlFRC4THQtPKdVHLF22k2O1TaT2jyU5OYb+KbGUVxxjVZ7vnuJWp7ZufxVOA5N0fPCAFhth59bz\nsli87RD5ZXWWZqlpbOXpFQXc9dxaWh2uVmMRLM91pu6eOpDczDh+9vp2yo41ndY6nllZiAC3n5/T\ns+Es0ONFuDHmJ8AQ4BlgDrBXRH4nIoN6eltKKeUrWlsd7N5zmIT4qBOmJ8RHsXVbsUWpVE/4tKAK\ne7CQ64c3A1Hdc+eUHEJtQfzzY2taw/ceqeX/Fm5l0u8+5Ddv7yQtNhx7sBAsEGIL8vsvgsFBwsM3\njqap1cGPF3a/W8rRhhb+s7aYa0ankRbnn2cEPNl6Y6XGGCMih4HDQBvQD/ifiLxvjPl+b2xTWcfh\ncNJQ30x4RAg2P75AQqkzIeJ6uA4qn58ANAbET4fPUi55hVWMHhBHeIju3wJdYlQos8/N5Pm8Ih64\neAgZ8b0/opjDafhoVxnzVxXySX4lobYgrh2Txm2TsxmZFsv6omryCiqZNDCBcVn+/0VwUFIU37t0\nGL95eyevbSjl+nEDuvzaF/KKaGhx+OUt6jvS40W4iHwb+BpQATwNfM8Y0yoiQcBeQIvwALJzeykf\nvb+NxoYW7CHBnHf+UM6dNEjvyOllxhj2rNtHRWkVo6YOJyYh2upIfY7NFszwYWns3H2Q5KQYwPV7\nqaysY8K5gXHA6IvqmtvYVlrD1y/Qk7l9xT0XDOTFT4uYt7yAX888u9e2U9PQyivrilmQt5/iqkZS\nY8P4/mXDmH1u5gl3vxyX1S8gim9Pt5+fw5Lth/nFm9uZPDihS/3cm1odzF9V9P/bu/Pousrz3uPf\n5xzNkyVZ8jzJYIPNbIQtCIkxBLCBhFAIkDk0CSUNaZs0XaG9ucltcm9vs9K1SrKSQAjlUpqBphDA\nDWZKSGISI2FhDJ4wGMmD5EmWZFnWLJ3n/qEDkQfho+nsM/w+a2mhs/c+4veuc7z3o1fPeTfLF5Zz\n5rSiOKSceBMxE14K/Jm77xq60d0jZnbdBPz/JCB7djWz+pe1lJTkUTi1iN7efp5/bjO5uVmcc35y\nf2I52TS+uY/Hv/80APWb9/Dxr90YcKL46+roJisnk3A4uNnKFcvPpKmpnf0H2qJT4MbMmSVcXKUC\nLlnV7mxhIOK6SU8amT4plxuXzOI/a/fwxctPH/elAN840M6D63by2IZGuvoGWFpRyt+vWsRVi6eS\nEU6PRevCIeM7N53Hqu++wF2PbuLB2y465eTdY680cuhoD3+RIrPgMAFFuLt/4132bRsIVQ5xAAAg\nAElEQVTv/58EZ8P6OnJyMsnJHfyNPSsrg+KSfGpe3KEiPM76evtxh6ycTLo7028ljt6ePv7t73/K\n+SvO5tIblgWWo6Agh0994j3s2t3MkSNdFBfnMXtWKeE0ubCmopr6FjJClnIzkfLu7lh+Gr+o3cP9\nf6jnH65ZNOafNxBxfrPtAA+u28m6twZbTj50/kw+dck8Fs9IjVndkZpXls9dq87kG6u38IvaPdxy\n0fB1QyTi/HhtHefMnMTFSd4XP9SE9IRLahgYiFC/aTe9PX3MXTSL/KJj/1zU3t5NVtaxb6GsrDBH\n2kb3iWcZvbmLZ7HilovZv7OJiz9QGXScuMvMyuDiD1Qya2Hwd04Lh0PMrygPOoaMk+q6Zs6dNYm8\nLF0u08m8snw+cN4MflK9i88vP42SIe0hI9HW2cd/1u7moRd30dDaxYxhWk7S1Seq5vLU5n1861fb\nuHRBOTOH+bDlc9sOUHeog+9/9IKUanfVWUVOyt15+sHfs+XFNzCD4vIiPnrXh44pxE9fOI21z28l\nvyD7nW2HWzs548zgC6F0EwqFWHbthUHHCIyZceGV5wUdQ1JMZ28/mxra+Nz7UufP3xK7v7zsdJ7Y\nuJf/t24nX75y4Yiee3zLybKKUv7HNYu4Mo1aTmIRiralXH33Wr76yGv8x2eWnrTI/tHv32J2aS4r\nz5oWQMqJoyJcTqqzvZttL+1g6twyQiFj/85DNLy5jzMu/NPF6Lwlc9m+tZH9+9rIygrT2zdAQUEO\nlyw/I8DkAtC87zAv/upl+vr6qVp1AdMrpgQdSSTpvLyrlf6Is0w36UlLZ0wr5KrFU3nwj/V87r0V\nFOa8+41h1HIyOrNL8/iHaxbxtcc389Oa3Xy8au4x+2t3trBh92H+8YNnpdwvMCrC5aQys8JkZIbp\n6+4jMycDx8nOOfZPZ7m5WXzkk5fy5hv72dfYyuSyAs5YNIO8/OxhfqrEQ29PH/919xp6OroJhUP8\n4vW9fOabN1NQnB90NJGkUlPXQjhkVM5TEZ6u7rz8dJ7deoCfVO/m85ed/APWJ2s5+erKM7n1otmj\nbmNJNx9bNoenN+/nn9ZsY/nC8mOWhvzR2jpK8jL5cGXsSxkmCxXhE8DdaTpwhJ11B8nICHPawmlM\nKp74tUbHU1ZOFtd8ZgVr/u239B8aYMmKs5mz6MQ2k6zsDM46ZxZnnZN6/ziSVcfhTjqOdDJl1mDh\n0NTQQuvBIyrCRUaouq6Zs2dOoiBbl8p0de6sYt67oIx/+0Mdt71nHjmZf1p9afv+aMvJKw1090VY\nVlHK165dxPsXqeVkpMyMb990Llf/61r+7pFX+dlnqwiFjB0Hj/Lc1gP81RULUvJzGak3ogTw0rod\nrH1+K2+3Nf3u11v40M1LmX/61GCDjdDCCyqY/6+z6e8bICdPs9vJoqAkn6KSfA41thAKh8jMzqB0\n6qSgY0mSMrMHgOuAg+5+wqLJNtjA+V3gGqAT+LS7b4juWxndFwbud/d/jlvwMerqHeDVhsP8eQrc\nGlvG5s4Vp3PLfdV84acbuOOy02jp6OXBP+7kxbrBlpMbLhhsOVk0XS0nYzGzOJf/ed0ivvroJh56\ncSeffk8F979QR3ZGiE9dPPeUz09GKsLHWWtLB2uf38rk8sJ37h7Z1dXLU0+8wl/89ZVJd0fJjMwM\nMjL1NkkmmVkZfPhL11K95hUG+ga46OpzyZ+UXH+JkYTyIPB94KFh9q8CFkS/lgH3AMvMLAz8ALgS\naADWm9lqd9864YnHwSu7W+kb0PrgAhnhEGbwm9cP8vzrB3EGC8a7Vp3JLZVqORlPN1fO5qnN+/nn\np19n8YxJ/HJDIzdfNIvJBak5Eajqapzt39uKmR1TbOfmZtF0pI2WQ0eZMk0zkjLxisuLWPmp5UHH\nkBTg7mvNbN67HHI98JC7O1BtZsVmNh2YB+xw9zoAM3s4euz4F+F/8zewceO4/sjZrZ083NpF5bpS\nCKXOkmgyctMOd/Hzls53HpcVZHNaeQH2dIChUpQB9/VHeLXhMJGH4CF3FjxbCHfH+Red88+Hu++e\n8P+NmpbGWXZOJoPXoj9xdyKRwf5pkbHoOtrFY997koe//RiHm9qCjiMCMBPYM+RxQ3TbcNtPYGa3\nm1mtmdU2NTVNWNCRONLVT352BhkqwNNeUU4moWh/aciMqUU5pNBS1QknKyPEtEk579RSbx08Snt3\nf8CpJoaqwnE2e24Zk4rzaG0+SnFpPu7OoQPtnLZwKsUl+mCcjM0btXVsq9lBRmaYl599lSs+9r6g\nI4mMmbvfB9wHUFlZ6ac4/ETjPGPV3TfADf/4LJ+smss51y0e158tyacQCO9qZX1dM1XzJ1Oou6dO\nuNW/fZN/eeYNHAgbfPmqM/jCitODjjXuVISPs8zMMDd99GKeffJV9uxqJhSCxefMZMXV5wQdTVJA\n6fRiMrMziAw4U+bqroySEBqB2UMez4puyxxme8J7ZfdhevsjVKXQ7bFlbC6cW8KFKr7jpmp+GdmZ\nO+jrj5CZEUrZf4sqwidA6eQCbv3ke+js6CEUDpFzigX+RWI1+4yZ3PatW+nr7WfaPN2ARxLCauDO\naM/3MqDN3feZWROwwMwqGCy+bwU+GmDOmNXUN2MGF+kmPSKBuHBuCT/9bBXV0b8+pOovQCrCJ5Bu\nWjM8dz/prWnl1MpmpuaMgCQmM/s5cBlQZmYNwDcYnOXG3e8F1jC4POEOBpcovC26r9/M7gSeYXCJ\nwgfcfUvcBzAKNXUtLJpWxKRcTaCIBCUd/vqgIlzirr31KD//p8eYNKWIm758HeFwci3bKJJO3P0j\np9jvwBeG2beGwSI9afT0D7BhdysfW5aa6xKLSOJQES5xd6S5nZb9hzl6+Cj9vf2Ec1WEi0hieHVP\nGz39Ea0PLiITTkW4xN2M06Zx8999kNzCHLJz1bIjIomjpq4ZgKXzVISLyMRKmHXCzWylmW03sx1m\ndte7HHeRmfWb2U3xzCfjx8yYf+5cpldMDTqKiMgxaupbOHNaoe6CKCITLiGK8CG3N14FLAY+YmYn\nLM4aPe7bwLPxTSgiIqmutz9C7a6WlF0OTUQSS0IU4cBSorc3dvde4O3bGx/vi8CjwMF4hhMRkdS3\nqfEw3X0RlmlpQhGJg0Qpwk95e2MzmwncANwTx1wiIpImqutaAFiqIlxE4iBRivBY3A181d0jpzrQ\nzG43s1ozq21qaopDNBERSXbVdc0snFrA5AJ9YFxEJl6iFOHD3fZ4qErgYTPbCdwE/NDMPnSyH+bu\n97l7pbtXlpfr1t4iIvLu+gYivLyrlWUV6gcXkfhIlCUK13OK2xu7e8Xb35vZg8Cv3P3xeIYUEZHU\ntLmxjc7eAa0PLiJxkxBF+HC3NzazO6L77w00oIiIpLS3+8E1Ey4i8ZIQRTic/PbGwxXf7v7peGQS\nEZH0UFPfzGnl+ZQXqh9cROIjUXrCRUREAtE/EKF2ZyvLtD64iMSRinAREUlrW/Ye4WhPv27SIyJx\npSJcRETSWk19MwBVWh9cROJIRbiklEgkQm9PX9AxAuHu9PX24+5BRxFJKjV1LVSU5TOlKCfoKCKS\nRhLmg5kiY7VzWwO/+vHzdHf2snDJPFZ+ajlZ2ZlBx4qLw01HePye5zi0t5UZ86fwwdvfT0FxXtCx\nRBLeQMR5qb6F686bHnQUEUkzmgmXlNDT1cvqH/2GrJwspsyezPbaejb+fmvQseLm6X//PW3N7UyZ\nPZn9uw7xu0eqg44kkhS27TtCe0+/liYUkbhTES4poaujm/7efnILcjAzsvOyadnfFnSsuDm0t5Wi\nkgLMjMLifJr2tgYdSSQpVNcN9oPrJj0iEm8qwiUlFBbnUzqtmKbGFtoPd9Dd2c38s2cHHStuFi6Z\nz6G9LbS3dtB68DALL5gXdCSRpFBT38LcyXlMn5QbdBQRSTPqCZeUEM4Ic+MXV/LirzbQ1nyU5Tcu\nY0EaFaIrbq6ioDiPffUHueiqc1hy+dlBRxJJeJFoP/jVZ00NOoqIpCEV4ZIyCkvyueoT7w06RiAy\nszK45LolQccQSSqv72+nratP/eAiEgi1o4iISFp6e31w9YOLSBBUhIuISFqqrmtmVkkus0q0nKeI\nxJ+KcBERSTtv94OrFUVEgqIiXEREhmVmK81su5ntMLO7TrL/78xsY/Rrs5kNmFlpdN9OM9sU3Vcb\n//TDe/PgUVo7+6hSK4qIBEQfzBQRkZMyszDwA+BKoAFYb2ar3f2dO2G5+3eA70SP/wDwJXdvGfJj\nVrj7oTjGjsnb64NXzddMuIgEQzPhIiIynKXADnevc/de4GHg+nc5/iPAz+OSbIxq6puZMSmHWSVa\nH1xEgqEifJQikQj9ff1BxxARmUgzgT1DHjdEt53AzPKAlcCjQzY78Gsze9nMbp+wlCPk7tTUtbBs\n/mTMLOg4IpKm1I4yCocaW3j07jW0H+7gPR+spOq6JTqRi0i6+wDwx+NaUS5190YzmwI8Z2avu/va\n458YLdBvB5gzZ86EB91x8CjNHb3qBxeRQGkmfBT++MR6Oo92MXl6MX94Yj1HmtuDjiQiMhEagdlD\nHs+KbjuZWzmuFcXdG6P/PQg8xmB7ywnc/T53r3T3yvLy8jGHPpXq+sHfE7QyiogESUX4KGTlZDLQ\nP0Bvdx+hUIhwRjjoSCIiE2E9sMDMKswsi8FCe/XxB5nZJGA58MSQbflmVvj298BVwOa4pD6Fmrpm\nphZlM3ey1gcXkeCoHWUU3vtny+ho66Jl/2FWfWYFBcX5QUcSERl37t5vZncCzwBh4AF332Jmd0T3\n3xs99AbgWXfvGPL0qcBj0Va9DOBn7v50/NKfnLtTU9/CJaepH1xEgqUifBQKivO56UvXBh1DRGTC\nufsaYM1x2+497vGDwIPHbasDzpvgeCNWd6iDpvYetaKISODUjiIiImmjpi7aD64PZYpIwFSEi4hI\n2qipb6a8MJv5ZWojFJFgqQgXEZG04O5U1zWzrKJU/eAiEjgV4SIikhZ2NXdy4EgPy3SrehFJACrC\nRUQkLdTUNwNwsfrBRSQBqAgXEZG0UF3XQllBFqeVFwQdRURERbiIiKQ+d6emrpml6gcXkQShIlxE\nRFJeQ2sXe9u6qVI/uIgkCBXhIiKS8l6sG+wH1016RCRRqAgXEZGUV1PXQkleJgumqB9cRBKDinAR\nEUl5NfXNLKuYTCikfnARSQwqwkVEJKU1tHbS0NqlW9WLSEJRES4iIimtpq4FUD+4iCQWFeEiIpLS\nauqbmZSbyZnTCoOOIiLyDhXhIiKS0mrqW1haUap+cBFJKCrCRUQkZe1r62JXcyfLKtQPLiKJRUW4\niIikrLf7wXWTHhFJNCrCRUQkZdXUN1OYk8Gi6UVBRxEROYaKcBERSVnVdS0snVdKWP3gIpJgVISL\niEhKOnikm/pDHVofXEQSkopwERFJSdX16gcXkcSlIlxERFJSdV0zBdkZLFY/uIgkIBXhIiKSkmrq\nmqmcV0JGWJc6EUk8OjOJiEjKaWrv4a2mDrWiiEjCUhEuIiIpp6a+GUA36RGRhJUwRbiZrTSz7Wa2\nw8zuOsn+j5nZa2a2yczWmdl5QeQUibdIJEJPVy/uHnQUSUMxnJsvM7M2M9sY/fp6rM+dSDV1LeRl\nhTl75qR4/m9FRGKWEXQAADMLAz8ArgQagPVmttrdtw45rB5Y7u6tZrYKuA9YFv+0IvFzpLmdR7+7\nhkN7W1m4pIJrP3cFGZkJ8c9W0kCM52aAF9z9ulE+d0LU1DdTOa+UTPWDi0iCSpSz01Jgh7vXuXsv\n8DBw/dAD3H2du7dGH1YDs+KcUSTuqte8QuuBNqbOKWN77VvUb9oTdCRJL6c8N0/Qc8ek+WgPbxw4\nqlYUEUloiVKEzwSGVhcN0W3D+Qzw1HA7zex2M6s1s9qmpqZxiigSf0NbUPz4x+7s2tbIhuc3s3/n\nwQDSSRqI9dx8SbRd8CkzO2uEzx33c/ZL76wPriJcRBJX0v1d28xWMFiEXzrcMe5+H4PtKlRWVqqR\nVpLWslUX0LB9Lwf3NLPwgvlUnDPnnX1ba3bw5I9/QyhkWCjELV+5jlkLpgeYVtLUBmCOux81s2uA\nx4EFI/kB433OrqlvITczzDkzi8f6o0REJkyiFOGNwOwhj2dFtx3DzM4F7gdWuXtznLKJBKa4vIhP\nf/MW+rp7yc7Lxsze2bdl3RsUFOdTWJLPob2tvLlhp4pwGW+nPDe7+5Eh368xsx+aWVksz50o1XXN\nXDi3hKyMRPljr4jIiRLlDLUeWGBmFWaWBdwKrB56gJnNAX4JfMLd3wggo0ggwuEQOfk5xxTgAOUz\nS+g43ElPZw89Xb2UTtMqEDLuYjk3T7Pom9PMljJ4XWmO5bkTobWjl9f3t6sfXEQSXkLMhLt7v5nd\nCTwDhIEH3H2Lmd0R3X8v8HVgMvDD6Pm+390rg8osErRLPlhJd2cvjTv2c/F1Szj7PWcEHUlSTIzn\n5puAz5tZP9AF3OqDH1446XMnOvNLOwf7wZfpJj0ikuAs1dcerqys9Nra2qBjpCR3xx1CITv1wSIy\nYmb2crpNNoz1nP3N/97KT2t28dr/uorsjPA4JhMReXcjPWcnxEy4JJfe3n6qX3qL2ld20ts7wMIF\nU1l+6RlMLi0IOpqIpLnqumaWzClRAS4iCS9ResIlSbg7Tz79Gn948U0K8rMpLyukrr6Jnzz8Iu1H\nu4OOJyJprK2zj237j7BMSxOKSBJQES4jcqj5KNvf3Me0qZPIzMwgFDImlxbQ1d3Hpi0NQccTkTS2\nfmcL7lClfnARSQIqwmVEDh/uxMxOWKkjJzuT/fvbAkolIjLYipKVEeL82VofXEQSn3rCZUSKinLx\niOPuxxTiPT19TCkvDDCZyJ807W9j944DZOVkMP/MGeQX5AQdSeKgpr6F82cXk5OpfnARSXwqwmVE\nppQXUlFRTn19E2VlhYRCRtuRLjIzw5xz9uxT/wCRCfZqTR2/fmID4ICRm7eZmz+3nLKpWkc9lR3p\n7mPL3jbuvHxEN+sUEQmM2lFkRMyM66+9gAvOn0vr4Q4ONh2hvKyQj95cxaSi3KDjSZrr7uzld09u\npLSsgKkzSpg6o5j+/gFeeGZz0NFkgtXubCHiUKWb9IhIktBMuIxYTk4mV7//bK64bBEDAxGyszOD\njiQCwOGWo0QiTmbWn05tRcV5NNQ3BZhK4qGmroXMsHHBnJKgo4iIxEQz4TJqGRlhFeCSUAqL8wAY\n6B94Z1tHezdTZ6gwS3XV0X7w3Cz1g4tIctBMuEjAmhpbeGH1Bo62dbKocj5LViwmHNbvx6ORX5BD\n1YpF/OG5LWRnZzAwECEUMi69+uygo8kEOtrTz+bGNj6//LSgo4iIxExFuCSc9sMd/PbxDezf3czk\naUWs+FAlpVOKgo41IdoPd/CL7z5DJBIhJy+L3z76Eh5xll51TtDRklbV5YuYMWcyO7Y2kp2bxeIL\n5lKqlXtSWu3OFgYirpv0iEhS0XSbJJTe7j4eufd56rY2kJERYm/9IX7xw1/T0Z6ad+M8sKuZnu5e\nSqYUkVuQQ+mUIra8tCPoWEnNzJi7YCpXXL+ES686WwV4Gnhi415CBuHj7l8gIpLIVIRLQjm4t5XW\npnbKphWTlZNJSXkhne3d7NuZmh+sy8wZbJlwdwB6uvvI05rWIjF7eVcrj29sJOLw5/++npd3tQYd\nSUQkJirCJaGYGRw3mfV2gZqKZp0+jYUXzOPA7mYONrQw0D/A8hsuCjqWSNJ44c0m3j5F9PVHqK5r\nDjaQiEiM1BMuCaV8RgmTpxbTtO8whcV5dB7pprA4jxkV5UFHmxDhcIjrblvO7ksW0tvTx7Q5ZUya\nXBB0LJGk8d7Ty7jnd2/RNxAhMyNE1fzJQUcSEYmJinBJKFnZGdx4+2Ws/dUr7N/dwtwzprP8+iUp\n3aIRDoeoWDwz6BgiSenCeaX87HNVVNc1UzV/MhfO1XKUIpIcVIRLwimYlMc1H3tP0DFEJElcOLdE\nxbeIJB31hIuIiIiIxJmKcBERERGROFMRLiIiIiISZyrCRURERETiTEW4JLS+3j721R0IOoaIiIjI\nuFIRLgmtv7efrqPdKX3DHhEREUk/WqJQElpuQS7zz50bdAw5ib7eftY+XsvW2jryCnJ4/81VzD1z\nRtCxREREkoJmwkVkVP745CtsWLuNwuJ8BvoH+OW9v6blQFvQsURERJKCinARGZU3X91N6ZRJZGSG\nySvMxR0ONrQEHUvGmZmtNLPtZrbDzO46yf6PmdlrZrbJzNaZ2XlD9u2Mbt9oZrXxTS4iktjUjiIi\no1JUmk9TYyvZuVm4OwMDEXLysoKOJePIzMLAD4ArgQZgvZmtdvetQw6rB5a7e6uZrQLuA5YN2b/C\n3Q/FLbSISJLQTLiIjMrlNy7FQkZTYysH97Rw1tLTmHPG9KBjyfhaCuxw9zp37wUeBq4feoC7r3P3\n1ujDamBWnDOKiCQlzYSLyKiUzyzl039/PQcbWsjKyWT6vDJCIf1en2JmAnuGPG7g2Fnu430GeGrI\nYwd+bWYDwI/c/b6TPcnMbgduB5gzZ86YAouIJAsV4SIyavlFuVQsnhl0DEkAZraCwSL80iGbL3X3\nRjObAjxnZq+7+9rjnxstzu8DqKys1HqkIpIWNG0lIiLDaQRmD3k8K7rtGGZ2LnA/cL27N7+93d0b\no/89CDzGYHuLiIigIjxtuDuHDhxh544DdLR3Bx1HxkHdpt38973P8uaGuqCjSOpaDywwswozywJu\nBVYPPcDM5gC/BD7h7m8M2Z5vZoVvfw9cBWyOW3IRkQSndpQ00NfXz1OP1PLG1sZ3enYvW3UOS6pO\nDziZjFZnexePfW8NGZlhtq9/i9u/8wmKSguCjiUpxt37zexO4BkgDDzg7lvM7I7o/nuBrwOTgR+a\nGUC/u1cCU4HHotsygJ+5+9MBDENEJCGpCE8Dr62vZ/vmBqbOLMHM6O8b4LdPvsbsinLKp04KOp6M\ngplhZkQGPPp90IkkVbn7GmDNcdvuHfL9Z4HPnuR5dcB5x28XEZFBKsLTwNZXd1NUnE90RoqMzDAA\nu99qUhGepHILcrjxS9fyes2bLKw8jcISzYKLiIgkExXhaSAnJ4sjh7uO2+pk5ejlTxad7V24O/lF\nee9sm7toFnMXaUlmERGRZKQPZqaBJRefTsfRbrq7enF32lo7yM7JYv7CaUFHkxi89sI27vnbh7jn\nb/+DV57X59pERERSgYrwNDD/jGlce1MlkYEIB/e1Mbm8iA/f9l7yC3KCjian4O48/7M/MKm8iNKp\nk/jtf65jYCASdCwREREZI/UjpAEz46wL5rH4/LkM9Efe6QmX5JBXlEfnkS5CISMnL5tQSJ/CFBER\nSXaaCU8jZqYCPMmYGR/6wtWUTi1m0uRCbvjiync+YCsiIiLJSzPhIgluypwyPv61Pws6hoiIiIwj\nzYSLiIiIiMSZivAJ0tvTx776A/T19gUdRUREREQSjNpRJkAkEuG//uUJGt7Yx/zz5vHhL38g6Egi\nIiIikkA0Ez4BBvoH2Fd3kLzCXBq278Xdg44kklK6jnZzuOmI/m2JiEjS0kz4BMjMyuSaz72fV3+7\nhcqV52k1C5FxVL9lD49//2n6ewc459IzuPrTl+nfmIiIJB0V4RNkcdVCFlctDDqGSMpZ+0g12blZ\nlEzNY9MfXueiq89n8oySoGOJiIiMSMK0o5jZSjPbbmY7zOyuk+w3M/tedP9rZrYkiJwiEqyCSfl0\nd/TQ09lDKBQiMycz6EgiIiIjlhBFuJmFgR8Aq4DFwEfMbPFxh60CFkS/bgfuiWtIEUkI7//4pcxc\nMJ1QKMQ1n7uCotKCoCOJiIiMWKK0oywFdrh7HYCZPQxcD2wdcsz1wEM++EmsajMrNrPp7r4v/nFF\nJCiTyoq45StacUhERJJbQsyEAzOBPUMeN0S3jfQYAMzsdjOrNbPapqamcQ0qIiIiIjJWiVKEjyt3\nv8/dK929sry8POg4IiIiIiLHSJQivBGYPeTxrOi2kR4jIiIiIpLwEqUIXw8sMLMKM8sCbgVWH3fM\nauCT0VVSqoA29YOLiIiISDJKiA9munu/md0JPAOEgQfcfYuZ3RHdfy+wBrgG2AF0ArcFlVdERERE\nZCwSoggHcPc1DBbaQ7fdO+R7B74Q71wiIiIiIuMtUdpRRERERETShopwEREREZE4UxEuIiIiIhJn\nKsJFRGRYZrbSzLab2Q4zu+sk+83Mvhfd/5qZLYn1uSIi6UxFuIiInJSZhYEfAKuAxcBHzGzxcYet\nAhZEv24H7hnBc0VE0paKcBERGc5SYIe717l7L/AwcP1xx1wPPOSDqoFiM5se43NFRNJWwixROFFe\nfvnlQ2a2awRPKQMOTVSeBJDK40vlsUFqjy+VxwajH9/c8Q4yQjOBPUMeNwDLYjhmZozPBcDMbmdw\nFh3gqJltH0PmRJAq7+dUGQekzlhSZRyQmmMZ0Tk75Ytwdy8fyfFmVuvulROVJ2ipPL5UHhuk9vhS\neWyQ+uMbK3e/D7gv6BzjJVVe71QZB6TOWFJlHKCxQBoU4SIiMmqNwOwhj2dFt8VyTGYMzxURSVvq\nCRcRkeGsBxaYWYWZZQG3AquPO2Y18MnoKilVQJu774vxuSIiaUsz4SdKmT+JDiOVx5fKY4PUHl8q\njw2SdHzu3m9mdwLPAGHgAXffYmZ3RPffC6wBrgF2AJ3Abe/23ACGEYSkfL1PIlXGAakzllQZB2gs\nmLuPdxAREREREXkXakcREREREYkzFeEiIiIiInGWtkX4WG7FnAxiGN/HouPaZGbrzOy8IHKORqy3\nwjazi8ys38xuime+sYplfGZ2mZltNLMtZvb7eGccrRjel5PM7L/N7NXo2G4LIudomNkDZnbQzDYP\nsz+pzylyohjez2ea2Ytm1mNmXwkiYyxS6XoRw1iuj45lo5nVmtmlQeQ8lVS6zgWTbk4AAAUMSURB\nVMXwmlxmZm3R12SjmX09iJynMiHXZndPuy8GPyT0FjAfyAJeBRYfd8w1wFOAAVVATdC5x3l8lwAl\n0e9XJcv4YhnbkOOeZ/BDYzcFnXucX7tiYCswJ/p4StC5x3Fs/wB8O/p9OdACZAWdPcbxvQ9YAmwe\nZn/SnlP0ddLXM5b38xTgIuD/AF8JOvMYxpEU14sYx1LAnz4Pdy7wetC5RzOOIccl9HUuxtfkMuBX\nQWcdh3GM+NqcrjPhY7kVczI45fjcfZ27t0YfVjO4hm8yiPVW2F8EHgUOxjPcOIhlfB8FfunuuwHc\nPVnGGMvYHCg0M2PwYtkC9Mc35ui4+1oG8w4nmc8pcqJYzrMH3X090BdEwBil0vUilrEc9WiFBOQz\neM5JNKl0nYt1LIluQq7N6VqED3eb5ZEek6hGmv0zDM7QJYNTjs3MZgI3APfEMdd4ieW1WwiUmNnv\nzOxlM/tk3NKNTSxj+z6wCNgLbAL+2t0j8Yk34ZL5nCInSpXXM5WuFzGNxcxuMLPXgSeBP49TtpFI\npetcrO+vS6JtQk+Z2VnxiTYiE3Jt1jrhac7MVjB4Uk3IvrhRuhv4qrtHBidUU04GcCFwBZALvGhm\n1e7+RrCxxsXVwEbgcuA04Dkze8HdjwQbS0RS5Xrh7o8Bj5nZ+4BvAe8PONJopNJ1bgODLRxHzewa\n4HFgQcCZRmPE1+Z0LcLHcivmZBBTdjM7F7gfWOXuzXHKNlaxjK0SeDh6YioDrjGzfnd/PD4RxySW\n8TUAze7eAXSY2VrgPCDRi/BYxnYb8M/RPxfvMLN64EzgpfhEnFDJfE6RE6XK65lK14sRvSbuvtbM\n5ptZmbsfmvB0sUul69wpxzJ0ksXd15jZD5P0NRnxtTld21HGcivmZHDK8ZnZHOCXwCeSbAb1lGNz\n9wp3n+fu84BHgL9MwBPTcGJ5bz4BXGpmGWaWBywDtsU552jEMrbdDM4iYGZTgTOAurimnDjJfE6R\nE8Xyfk4GqXS9iGUsp0c/c4INrlCUDSTaLxWpdJ2L5TWZNuQ1WcpgbZp0rwmjuDan5Uy4j+FWzMkg\nxvF9HZgM/DD63u9398qgMscqxrElrVjG5+7bzOxp4DUgAtzv7iddFi+RxPjafQt40Mw2MbiKyFcT\nbDZkWGb2cwY/5V9mZg3AN4BMSP5zipwolvezmU0DaoEiIGJmf8PgigoJ016VSteLGMdyI4O/DPcB\nXcAtQz6omRBS6ToX41huAj5vZv0Mvia3JuNrMpprs25bLyIiIiISZ+najiIiIiIiEhgV4SIiIiIi\ncaYiXEREREQkzlSEi4iIiIjEmYpwEREREZE4UxEuIiIiKc3M5plZwi/lKulFRbiIiIiISJypCBcZ\nITO7yMxeM7McM8s3sy1mdnbQuURE5F2FzezH0XP2s2aWG3QgSW+6WY/IKJjZ/wZygFygwd3/b8CR\nRERkGGY2j8G71Va6+0Yz+wWw2t1/EmgwSWtpedt6kXHwTWA90A38VcBZRETk1OrdfWP0+5eBeQFm\nEVE7isgoTQYKgEIGZ8RFRCSx9Qz5fgBNRErAVISLjM6PgP8J/BT4dsBZREREJMnot0CRETKzTwJ9\n7v4zMwsD68zscnd/PuhsIiIikhz0wUwRERERkThTO4qIiIiISJypCBcRERERiTMV4SIiIiIicaYi\nXEREREQkzlSEi4iIiIjEmYpwEREREZE4UxEuIiIiIhJn/x/yJ7+epUDeugAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fda7983ef28>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(0.08005413263359723,\n",
       " 1.233390317961123,\n",
       " 202.01065559028487,\n",
       " 865.71963639776334)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Here we create a cross_validation object. The idea is to use that object to store\n",
    "# the data set and then make multiple cross validation test with different models.\n",
    "# So, we just initialize the object here. Internally, the function stores the required\n",
    "# information and precomputes some basic statistics.\n",
    "\n",
    "ctest = geo.CrossValid( x, v )\n",
    "\n",
    "print( 'Variogram: ',variomod )\n",
    "ctest( variomod )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "---  exponential variogram: range = 0.35, sill =800, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.204468451667 <=  0.32025630761017426\n",
      "Model must be REJECTED:  mean squared normalized error: Q2 = 1.54235624506\n",
      "   out of bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.788025148\n",
      "Geometric mean error variance = 617.565699434\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =900, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.192778952936 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 1.37101938469\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.787104601\n",
      "Geometric mean error variance = 694.743478504\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1000, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.182889397119 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 1.23394340804\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.786367488\n",
      "Geometric mean error variance = 771.921257372\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1100, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.174380713545 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 1.12178604603\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.785763948\n",
      "Geometric mean error variance = 849.099036095\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1200, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.166958829269 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 1.02831862796\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.785260692\n",
      "Geometric mean error variance = 926.276814708\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1300, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.160410486277 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.949228718071\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.784834641\n",
      "Geometric mean error variance = 1003.45459324\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1400, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.154576760134 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.881435838452\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.784469295\n",
      "Geometric mean error variance = 1080.6323717\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1500, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.149336466339 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.822680868281\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.784152544\n",
      "Geometric mean error variance = 1157.81015011\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1600, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.144595367903 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.7712694001\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.783875295\n",
      "Geometric mean error variance = 1234.98792848\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1700, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.140278930198 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.725905666152\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.783630594\n",
      "Geometric mean error variance = 1312.16570681\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1800, nugget =0.1\n",
      "Acceptable mean normalized error: Q1 = -0.136327322689 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.685581816773\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 326.783413027\n",
      "Geometric mean error variance = 1389.34348511\n",
      " \n"
     ]
    }
   ],
   "source": [
    "test = range(800,1900,100)\n",
    "Q1_test, Q12_test, Q2_test, Cr_test, gM_test = [], [], [], [], []\n",
    "for i in range(len(test)):\n",
    "    vario = geo.Variogram( 0.35, test[i], typ='exponential' , nugget=0.1)\n",
    "    print('--- ',vario)\n",
    "    Q1,Q2,gM,Cr = ctest( vario, makeplot=False)\n",
    "    Q1_test.append(Q1)\n",
    "    Q12_test.append((Q2-1.0)**2)\n",
    "    Q2_test.append(Q2)\n",
    "    Cr_test.append(Cr)\n",
    "    gM_test.append(gM)\n",
    "    print(' ')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtUAAAHiCAYAAAAnJDDjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nakthQfpLAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1d31123d6a0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure( figsize=(12,8) )\n",
    "\n",
    "plt.subplot(221)\n",
    "plt.plot(test,Q1_test,'.-')\n",
    "plt.title('Q1')\n",
    "\n",
    "plt.subplot(222)\n",
    "plt.plot(test,Q12_test,'.-')\n",
    "plt.title('Q2')\n",
    "\n",
    "plt.subplot(223)\n",
    "plt.plot(test,gM_test,'.-')\n",
    "plt.title('gM')\n",
    "\n",
    "plt.subplot(224)\n",
    "plt.plot(test,Cr_test,'.-')\n",
    "plt.title('Cr')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "---  exponential variogram: range = 0.3, sill =1400, nugget =0\n",
      "Acceptable mean normalized error: Q1 = 0.0596012694941 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.919229596693\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 370.253548479\n",
      "Geometric mean error variance = 1056.32030014\n",
      " \n",
      "---  exponential variogram: range = 0.35, sill =1400, nugget =0\n",
      "Acceptable mean normalized error: Q1 = 0.0650361158908 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 0.993528916684\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 382.225564044\n",
      "Geometric mean error variance = 984.42585004\n",
      " \n",
      "---  exponential variogram: range = 0.4, sill =1400, nugget =0\n",
      "Acceptable mean normalized error: Q1 = 0.070231428977 <=  0.32025630761017426\n",
      "Acceptable mean squared normalized error: Q2 = 1.07309275022\n",
      "   within bounds LU = [ 0.606521142502 1.49025794192 ]\n",
      "Geometric mean square error = 380.527492136\n",
      "Geometric mean error variance = 919.430371334\n",
      " \n"
     ]
    }
   ],
   "source": [
    "for i in 0.3,0.35,0.4:\n",
    "    vario = geo.Variogram(rang=i, sill=1300, typ=\"exponential\")\n",
    "    print('--- ',vario)\n",
    "    ctest( vario, makeplot=False)\n",
    "    print(' ')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "exponential variogram: range = 0.45, sill =1000, nugget =0.1\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAywAAAFNCAYAAADiuetLAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fda7a84e4e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = np.arange(0, 1, 0.025)\n",
    "nx = len(xs)\n",
    "xx, yy = np.meshgrid(xs, xs)\n",
    "\n",
    "xx.shape = (nx*nx,1)\n",
    "yy.shape = (nx*nx,1)\n",
    "\n",
    "xu = np.zeros( (nx*nx,2) )\n",
    "xu[:,0] = xx[:,0]\n",
    "xu[:,1] = yy[:,0]\n",
    "\n",
    "vu, stdu = geo.ordinary_kriging_variogram(x,v,xu,variomod)\n",
    "\n",
    "\n",
    "print(variomod)\n",
    "\n",
    "xx.shape = (nx,nx)\n",
    "yy.shape = (nx,nx)\n",
    "vu.shape = (nx,nx)\n",
    "stdu.shape = (nx,nx)\n",
    "\n",
    "v.shape=(n,)\n",
    "\n",
    "fig, (ax0, ax1) = plt.subplots( figsize=(14,5), ncols=2 )\n",
    "cmap = plt.get_cmap('terrain')\n",
    "\n",
    "cf = ax0.pcolormesh(xx, yy, vu, cmap=cmap  )\n",
    "ax0.axis('tight')\n",
    "ax0.plot(x[:,0], x[:,1],'k+')\n",
    "ax0.set_title('Kriged map')\n",
    "ax0.set_xlabel('x')\n",
    "ax0.set_ylabel('y')\n",
    "fig.colorbar(cf, ax=ax0)\n",
    "\n",
    "cf = ax1.pcolormesh(xx, yy, np.sqrt(stdu), cmap=cmap  )\n",
    "ax1.axis('tight')\n",
    "ax1.plot(x[:,0], x[:,1],'k+')\n",
    "ax1.set_title('Kriging standard deviation')\n",
    "ax1.set_xlabel('x')\n",
    "ax1.set_ylabel('y')\n",
    "fig.colorbar(cf, ax=ax1)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true,
    "jupyter": {
     "outputs_hidden": true
    }
   },
   "outputs": [],
   "source": [
    "xs = np.arange(0, 1, 0.025)\n",
    "nx = len(xs)\n",
    "xx, yy = np.meshgrid(xs, xs)\n",
    "\n",
    "xx.shape = (nx*nx,1)\n",
    "yy.shape = (nx*nx,1)\n",
    "\n",
    "xu = np.zeros( (nx*nx,2) )\n",
    "xu[:,0] = xx[:,0]\n",
    "xu[:,1] = yy[:,0]\n",
    "\n",
    "vu, stdu = geo.ordinary_kriging_variogram(x,v,xu,variomod)\n",
    "\n",
    "print(variomod)\n",
    "\n",
    "\n",
    "xx.shape = (nx,nx)\n",
    "yy.shape = (nx,nx)\n",
    "vu.shape = (nx,nx)\n",
    "stdu.shape = (nx,nx)\n",
    "\n",
    "v.shape=(n,)\n",
    "\n",
    "fig, (ax0, ax1) = plt.subplots( figsize=(14,5), ncols=2 )\n",
    "cmap = plt.get_cmap('terrain')\n",
    "\n",
    "cf = ax0.pcolormesh(xx, yy, vu, cmap=cmap  )\n",
    "ax0.axis('tight')\n",
    "ax0.plot(x[:,0], x[:,1],'k+')\n",
    "ax0.set_title('Kriged map')\n",
    "ax0.set_xlabel('x')\n",
    "ax0.set_ylabel('y')\n",
    "fig.colorbar(cf, ax=ax0)\n",
    "\n",
    "cf = ax1.pcolormesh(xx, yy, np.sqrt(stdu), cmap=cmap  )\n",
    "ax1.axis('tight')\n",
    "ax1.plot(x[:,0], x[:,1],'k+')\n",
    "ax1.set_title('Kriging standard deviation')\n",
    "ax1.set_xlabel('x')\n",
    "ax1.set_ylabel('y')\n",
    "fig.colorbar(cf, ax=ax1)\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
